// Numbas version: exam_results_page_options
{"name": "Jo-Ann's copy of Addition and subtraction of fractions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [{"name": "Part a", "variables": ["a", "a_coprime", "b", "b_coprime", "gcd_ab", "c", "c_coprime", "d", "d_coprime", "gcd_cd", "lcm", "a_coprimed_coprime", "c_coprimeb_coprime", "lcm_b", "lcm_d", "alcm_b", "clcm_d", "alcmclcm", "gcd", "num", "denom"]}, {"name": "Part b", "variables": ["f", "f_coprime", "g", "g_coprime", "gcd_fg", "h", "h_coprime", "j", "j_coprime", "gcd_hj", "lcm2", "lcm2_g", "flcm2_g", "lcm2_j", "hlcm2_j", "flcmhlcm", "twolcm2", "num2unsim", "gcd2"]}, {"name": "Part c", "variables": ["k", "gcd_k100", "k_simp", "simp", "l", "l_coprime", "m", "m_coprime", "gcd_lm", "n", "n_coprime", "o", "o_coprime", "gcd_no", "gcd1", "gcd3", "term1", "term2", "term3", "num1", "gcd_numgcd3"]}], "ungrouped_variables": [], "advice": "<h4>a)</h4>\n<p>$\\displaystyle\\frac{\\var{a_coprime}}{\\var{b_coprime}}+\\frac{\\var{c_coprime}}{\\var{d_coprime}}$</p>\n<p>To add or subtract fractions, we need to have a common denominator on both fractions.</p>\n<p>To get a common denominator, we need to find the lowest common multiple of the two denominators.</p>\n<p>The lowest common multiple of $\\var{b_coprime}$ and $\\var{d_coprime}$ is $\\var{lcm}.$</p>\n<p>This will be the new denominator, and we need to multiply each fraction individually to ensure we get this denominator.&nbsp;</p>\n<p>For&nbsp;$\\displaystyle\\frac{\\var{a_coprime}}{\\var{b_coprime}}$, we need to multiply the fraction by $\\displaystyle\\frac{\\var{lcm_b}}{\\var{lcm_b}}$ to give $\\displaystyle\\frac{\\var{alcm_b}}{\\var{lcm}}.$</p>\n<p>For&nbsp;$\\displaystyle\\frac{\\var{c_coprime}}{\\var{d_coprime}}$, we need to multiply the fraction by&nbsp;$\\displaystyle\\frac{\\var{lcm_d}}{\\var{lcm_d}}$ to give $\\displaystyle\\frac{\\var{clcm_d}}{\\var{lcm}}.$</p>\n<p>Now that we have each fraction in terms of a common denominator, we can now add the fractions together.&nbsp;</p>\n<p>$\\displaystyle\\frac{\\var{alcm_b}}{\\var{lcm}}+\\frac{\\var{clcm_d}}{\\var{lcm}}=\\frac{(\\var{alcm_b}+\\var{clcm_d})}{\\var{lcm}}=\\frac{\\var{alcmclcm}}{\\var{lcm}}.$</p>\n<p>From this, we can try to simplify the result down by finding the greatest common divisor of the numerator and denominator and dividing the whole fraction by this amount.&nbsp;</p>\n<p>The greatest common divisor of $\\var{alcmclcm}$ and $\\var{lcm}$ is $\\var{gcd}.$</p>\n<p><span data-jme-visible=\"gcd &gt; 1\">Simplifying using this value gives a final answer of $\\displaystyle\\frac{\\var{num}}{\\var{denom}}.$</span></p>\n<p><span data-jme-visible=\"gcd = 1\">Therefore, the expression cannot be simplified further, and $\\displaystyle\\frac{\\var{num}}{\\var{denom}}$ is the final answer.</span></p>\n<p></p>\n<h4>b)</h4>\n<p>$\\displaystyle\\frac{\\var{f_coprime}}{\\var{g_coprime}}-\\frac{\\var{h_coprime}}{\\var{j_coprime}}+2.$</p>\n<p></p>\n<p>The two fractions can be individually multiplied to achieve a common denominator of the lowest common multiple, $\\var{lcm2}.$</p>\n<p>$\\displaystyle\\frac{\\var{f_coprime}}{\\var{g_coprime}}$ becomes $\\displaystyle\\frac{\\var{flcm2_g}}{\\var{lcm2}}$ and $\\displaystyle\\frac{\\var{h_coprime}}{\\var{j_coprime}}$ becomes&nbsp;$\\displaystyle\\frac{\\var{hlcm2_j}}{\\var{lcm2}}.$</p>\n<p>We can now subtract the second fraction from the first.</p>\n<p style=\"text-align: center;\">$\\displaystyle\\frac{\\var{flcm2_g}}{\\var{lcm2}}-\\frac{\\var{hlcm2_j}}{\\var{lcm2}}=\\frac{\\var{flcmhlcm}}{\\var{lcm2}}.$</p>\n<p>From this, the question asks us to add $2$. We need to change the mixed number, $2$, into an improper fraction.&nbsp;</p>\n<p style=\"text-align: center;\">$\\displaystyle2=2\\bigg(\\frac{\\var{lcm2}}{\\var{lcm2}}\\bigg)=\\frac{\\var{twolcm2}}{\\var{lcm2}}.$</p>\n<p style=\"text-align: left;\">We can now continue with the question.</p>\n<p style=\"text-align: center;\">$\\displaystyle\\frac{\\var{flcmhlcm}}{\\var{lcm2}}+\\frac{\\var{twolcm2}}{\\var{lcm2}}=\\frac{\\var{num2unsim}}{\\var{lcm2}}.$</p>\n<p>We can look to simplify by dividing by the greatest common divisor of $\\var{num2unsim}$ and $\\var{lcm2}$ which is $\\var{gcd2}.$</p>\n<p><span data-jme-visible=\"gcd2 &gt; 1\">Simplifying by this value gives&nbsp;the final answer $\\displaystyle\\simplify{{num2unsim}/{lcm2}}.$</span></p>\n<p><span data-jme-visible=\"gcd2 = 1\">Therefore, no further simplification is possible, and&nbsp;$\\displaystyle\\simplify{{num2unsim}/{lcm2}}$ is the final answer.</span></p>\n<p></p>\n<h4>c)</h4>\n<p>$\\displaystyle\\var{k}+\\frac{\\var{l_coprime}}{\\var{m_coprime}}-\\frac{\\var{n_coprime}}{\\var{o_coprime}}.$</p>\n<p>We need to convert the decimal into a fraction and to do this, we need to multiply it by $10$ for every decimal place.</p>\n<p style=\"text-align: center;\">$\\displaystyle\\frac{\\var{k}}{1}\\times\\frac{100}{100}=\\frac{\\var{100k}}{100}.$</p>\n<p>We should look to simplify by dividing by the greatest common divisor which is $\\var{gcd_k100}.$</p>\n<p><span data-jme-visible=\"gcd_k100 = 1\">Therefore, it is not possible to simplify any further, and the&nbsp;fraction stays as</span></p>\n<p><span data-jme-visible=\"gcd_k100 &gt; 1\">Simplifying by this value gives&nbsp;the fraction</span></p>\n<p style=\"text-align: left;\">\\[\\simplify{{{100k}}/{100}}\\text{.}\\]</p>\n<p style=\"text-align: left;\">The original&nbsp;expression is now $\\displaystyle\\frac{\\var{k_simp}}{\\var{simp}}+\\frac{\\var{l_coprime}}{\\var{m_coprime}}-\\frac{\\var{n_coprime}}{\\var{o_coprime}}.$</p>\n<p style=\"text-align: left;\">We can multiply each fraction individually to achieve the common denominator $\\var{gcd3}$.</p>\n<p style=\"text-align: left;\">\\[\\frac{\\var{k_simp}}{\\var{simp}}\\text{ becomes }\\frac{\\var{k_simp*term1}}{\\var{gcd3}}\\text{, }\\frac{\\var{l_coprime}}{\\var{m_coprime}}\\text{ becomes }\\frac{\\var{l_coprime*term2}}{\\var{gcd3}}\\text{ and }\\frac{\\var{n_coprime}}{\\var{o_coprime}}\\text{&nbsp;becomes }\\frac{\\var{n_coprime*term3}}{\\var{gcd3}}\\text{.}\\]</p>\n<p style=\"text-align: left;\">We can&nbsp;now complete the addition.&nbsp;</p>\n<p style=\"text-align: left;\">\\[\\frac{\\var{k_simp*term1}}{\\var{gcd3}}+\\frac{\\var{l_coprime*term2}}{\\var{gcd3}}-\\frac{\\var{n_coprime*term3}}{\\var{gcd3}}=\\frac{\\var{(k_simp*term1)+(l_coprime*term2)-(n_coprime*term3)}}{\\var{gcd3}}\\text{.}\\]</p>\n<p style=\"text-align: left;\">We should look to simplify this fraction by dividing by the highest common divisor,&nbsp;$\\var{gcd_numgcd3}.$</p>\n<p style=\"text-align: left;\"><span data-jme-visible=\"gcd_numgcd3 &gt; 1\">Simplifying by this value gives the final answer</span>&nbsp;</p>\n<p style=\"text-align: left;\"><span data-jme-visible=\"gcd_numgcd3 = 1\">Therefore, it is not possible to simplify the fraction any further and the final answer is</span></p>\n<p style=\"text-align: left;\">\\[\\simplify{{num1}/{gcd3}}\\text{.}\\]</p>", "extensions": [], "statement": "<p>Evaluate the following additions and subtractions, giving each fraction in its simplest form.</p>", "name": "Jo-Ann's copy of Addition and subtraction of fractions", "metadata": {"description": "<p>Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer&nbsp;and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place.&nbsp;</p>", "licence": "Creative Commons Attribution 4.0 International"}, "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "parts": [{"showFeedbackIcon": true, "marks": 0, "scripts": {}, "prompt": "<p>$\\displaystyle\\frac{\\var{a_coprime}}{\\var{b_coprime}}+\\frac{\\var{c_coprime}}{\\var{d_coprime}}=$ <fraction> <numerator>[[0]]</numerator> <denominator>[[1]]</denominator> </fraction></p>", "gaps": [{"allowFractions": false, "showFeedbackIcon": true, "maxValue": "num", "correctAnswerFraction": false, "minValue": "num", "marks": 1, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "numberentry", "mustBeReducedPC": 0}, {"allowFractions": false, "showFeedbackIcon": true, "maxValue": "denom", "correctAnswerFraction": false, "minValue": "denom", "marks": 1, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "numberentry", "mustBeReducedPC": 0}], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true}, {"showFeedbackIcon": true, "marks": 0, "scripts": {}, "prompt": "<p>$\\displaystyle\\frac{\\var{f_coprime}}{\\var{g_coprime}}-\\frac{\\var{h_coprime}}{\\var{j_coprime}}+2=$&nbsp;<fraction> <numerator>[[0]]</numerator> <denominator>[[1]]</denominator> </fraction></p>", "gaps": [{"allowFractions": false, "showFeedbackIcon": true, "maxValue": "num2unsim/gcd2", "correctAnswerFraction": false, "minValue": "num2unsim/gcd2", "marks": "2", "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "numberentry", "mustBeReducedPC": 0}, {"allowFractions": false, "showFeedbackIcon": true, "maxValue": "lcm2/gcd2", "correctAnswerFraction": false, "minValue": "lcm2/gcd2", "marks": 1, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "numberentry", "mustBeReducedPC": 0}], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true}, {"showFeedbackIcon": true, "marks": 0, "scripts": {}, "prompt": "<p>$\\displaystyle \\var{k}+\\frac{\\var{l}}{\\var{m}}-\\frac{\\var{n}}{\\var{o}}=$ <fraction> <numerator>[[0]]</numerator> <denominator>[[1]]</denominator> </fraction>.</p>", "gaps": [{"allowFractions": false, "showFeedbackIcon": true, "maxValue": "num1/gcd_numgcd3", "correctAnswerFraction": false, "minValue": "num1/gcd_numgcd3", "marks": 1, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "numberentry", "mustBeReducedPC": 0}, {"allowFractions": false, "showFeedbackIcon": true, "maxValue": "gcd3/gcd_numgcd3", "correctAnswerFraction": false, "minValue": "gcd3/gcd_numgcd3", "marks": 1, "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerStyle": "plain", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "numberentry", "mustBeReducedPC": 0}], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "gapfill", "showCorrectAnswer": true}], "variables": {"gcd_fg": {"description": "<p>PART B gcd of first fraction num and denom</p>", "definition": "gcd(f,g)", "templateType": "anything", "name": "gcd_fg", "group": "Part b"}, "lcm": {"description": "<p>PART A lowest common multiple of variable b_coprime and variable d_coprime.</p>", "definition": "lcm(b_coprime,d_coprime)", "templateType": "anything", "name": "lcm", "group": "Part a"}, "c_coprime": {"description": "", "definition": "c/gcd_cd", "templateType": "anything", "name": "c_coprime", "group": "Part a"}, "gcd2": {"description": "<p>PART B</p>", "definition": "gcd(num2unsim,lcm2)", "templateType": "anything", "name": "gcd2", "group": "Part b"}, "d_coprime": {"description": "", "definition": "d/gcd_cd", "templateType": "anything", "name": "d_coprime", "group": "Part a"}, "lcm2_j": {"description": "<p>PART B</p>", "definition": "lcm2/j_coprime", "templateType": "anything", "name": "lcm2_j", "group": "Part b"}, "a": {"description": "<p>PART A variable a - random number between 1 and 5.</p>", "definition": "random(1..5)", "templateType": "anything", "name": "a", "group": "Part a"}, "c": {"description": "<p>PART A variable c - random number between 1 and 5.</p>", "definition": "random(1..5)", "templateType": "anything", "name": "c", "group": "Part a"}, "alcm_b": {"description": "<p>PART A variable a times the lcm of b and d, divided by b</p>", "definition": "a_coprime*lcm_b", "templateType": "anything", "name": "alcm_b", "group": "Part a"}, "m": {"description": "", "definition": "random(5..12 except 7 except 11)", "templateType": "anything", "name": "m", "group": "Part c"}, "g": {"description": "<p>PART B</p>", "definition": "random(2..10 except f except j)", "templateType": "anything", "name": "g", "group": "Part b"}, "gcd_lm": {"description": "", "definition": "gcd(l,m)", "templateType": "anything", "name": "gcd_lm", "group": "Part c"}, "term1": {"description": "", "definition": "gcd3/simp", "templateType": "anything", "name": "term1", "group": "Part c"}, "h": {"description": "<p>PART B</p>", "definition": "random(1..10)", "templateType": "anything", "name": "h", "group": "Part b"}, "simp": {"description": "", "definition": "(100)/(gcd_k100)", "templateType": "anything", "name": "simp", "group": "Part c"}, "twolcm2": {"description": "<p>PART B</p>", "definition": "2*lcm2", "templateType": "anything", "name": "twolcm2", "group": "Part b"}, "j": {"description": "<p>PART B</p>", "definition": "random(2..10 except h)", "templateType": "anything", "name": "j", "group": "Part b"}, "gcd_cd": {"description": "<p>PART A&nbsp;</p>", "definition": "gcd(c,d)", "templateType": "anything", "name": "gcd_cd", "group": "Part a"}, "clcm_d": {"description": "<p>PART A variable c times the lcm of b and d, divided by d</p>", "definition": "c_coprime*lcm_d", "templateType": "anything", "name": "clcm_d", "group": "Part a"}, "n": {"description": "", "definition": "random(1..5)", "templateType": "anything", "name": "n", "group": "Part c"}, "flcmhlcm": {"description": "<p>PART B</p>", "definition": "flcm2_g-hlcm2_j", "templateType": "anything", "name": "flcmhlcm", "group": "Part b"}, "a_coprimed_coprime": {"description": "<p>PART A variable a times variable d</p>", "definition": "a_coprime*d_coprime", "templateType": "anything", "name": "a_coprimed_coprime", "group": "Part a"}, "alcmclcm": {"description": "<p>PART A&nbsp;</p>", "definition": "alcm_b+clcm_d", "templateType": "anything", "name": "alcmclcm", "group": "Part a"}, "b": {"description": "<p>PART A variable b - random number between 5 and 10 and not the same value as d.</p>", "definition": "random(5..10 except d)", "templateType": "anything", "name": "b", "group": "Part a"}, "term2": {"description": "", "definition": "gcd3/m_coprime", "templateType": "anything", "name": "term2", "group": "Part c"}, "o_coprime": {"description": "", "definition": "o/gcd_no", "templateType": "anything", "name": "o_coprime", "group": "Part c"}, "a_coprime": {"description": "<p>PART A</p>", "definition": "a/gcd_ab", "templateType": "anything", "name": "a_coprime", "group": "Part a"}, "term3": {"description": "", "definition": "gcd3/o_coprime", "templateType": "anything", "name": "term3", "group": "Part c"}, "k_simp": {"description": "", "definition": "(100k)/(gcd_k100)", "templateType": "anything", "name": "k_simp", "group": "Part c"}, "b_coprime": {"description": "<p>PART A&nbsp;</p>", "definition": "b/gcd_ab", "templateType": "anything", "name": "b_coprime", "group": "Part a"}, "lcm2": {"description": "<p>PART B</p>", "definition": "lcm(g_coprime,j_coprime)", "templateType": "anything", "name": "lcm2", "group": "Part b"}, "k": {"description": "", "definition": "random(0.01..0.9#0.01)", "templateType": "anything", "name": "k", "group": "Part c"}, "denom": {"description": "<p>PART A answer for the denominator of part a</p>", "definition": "lcm/gcd", "templateType": "anything", "name": "denom", "group": "Part a"}, "j_coprime": {"description": "<p>PART B</p>", "definition": "j/gcd_hj", "templateType": "anything", "name": "j_coprime", "group": "Part b"}, "g_coprime": {"description": "<p>PART B g_coprime</p>", "definition": "g/gcd_fg", "templateType": "anything", "name": "g_coprime", "group": "Part b"}, "gcd3": {"description": "", "definition": "lcm(gcd1,o_coprime)", "templateType": "anything", "name": "gcd3", "group": "Part c"}, "m_coprime": {"description": "", "definition": "m/gcd(l,m)", "templateType": "anything", "name": "m_coprime", "group": "Part c"}, "lcm_d": {"description": "<p>PART A lcm of b and d, divided by d</p>", "definition": "lcm/d_coprime", "templateType": "anything", "name": "lcm_d", "group": "Part a"}, "f_coprime": {"description": "<p>PART B</p>", "definition": "f/gcd_fg", "templateType": "anything", "name": "f_coprime", "group": "Part b"}, "l": {"description": "", "definition": "random(1..3)", "templateType": "anything", "name": "l", "group": "Part c"}, "d": {"description": "<p>PART A variable d - random number between 5 and 15.</p>", "definition": "random(5..15)", "templateType": "anything", "name": "d", "group": "Part a"}, "gcd": {"description": "<p>PART A greatest common divisor of the variables alcmclcm and lcm</p>", "definition": "gcd(alcmclcm,lcm)", "templateType": "anything", "name": "gcd", "group": "Part a"}, "lcm_b": {"description": "<p>PART A lcm of b and d, divided by b</p>", "definition": "lcm/b_coprime", "templateType": "anything", "name": "lcm_b", "group": "Part a"}, "c_coprimeb_coprime": {"description": "<p>PART A variable c times variable b</p>", "definition": "c_coprime*b_coprime", "templateType": "anything", "name": "c_coprimeb_coprime", "group": "Part a"}, "num1": {"description": "", "definition": "(k_simp*term1)+(l_coprime*term2)-(n_coprime*term3)", "templateType": "anything", "name": "num1", "group": "Part c"}, "lcm2_g": {"description": "<p>PART B</p>", "definition": "lcm2/g_coprime", "templateType": "anything", "name": "lcm2_g", "group": "Part b"}, "gcd_hj": {"description": "<p>PART B</p>", "definition": "gcd(h,j)", "templateType": "anything", "name": "gcd_hj", "group": "Part b"}, "gcd_k100": {"description": "", "definition": "gcd(100k,100)", "templateType": "anything", "name": "gcd_k100", "group": "Part c"}, "gcd_numgcd3": {"description": "", "definition": "gcd(num1,gcd3)", "templateType": "anything", "name": "gcd_numgcd3", "group": "Part c"}, "flcm2_g": {"description": "<p>PART B</p>", "definition": "f_coprime*lcm2_g", "templateType": "anything", "name": "flcm2_g", "group": "Part b"}, "n_coprime": {"description": "", "definition": "n/gcd_no", "templateType": "anything", "name": "n_coprime", "group": "Part c"}, "l_coprime": {"description": "", "definition": "l/gcd_lm", "templateType": "anything", "name": "l_coprime", "group": "Part c"}, "gcd_no": {"description": "", "definition": "gcd(n,o)", "templateType": "anything", "name": "gcd_no", "group": "Part c"}, "h_coprime": {"description": "<p>PART B</p>", "definition": "h/gcd_hj", "templateType": "anything", "name": "h_coprime", "group": "Part b"}, "f": {"description": "<p>PART B</p>", "definition": "random(1..10)", "templateType": "anything", "name": "f", "group": "Part b"}, "hlcm2_j": {"description": "<p>PART B</p>", "definition": "h_coprime*lcm2_j", "templateType": "anything", "name": "hlcm2_j", "group": "Part b"}, "gcd1": {"description": "", "definition": "lcm(simp,m_coprime)", "templateType": "anything", "name": "gcd1", "group": "Part c"}, "num": {"description": "<p>PART A answer for the numerator input</p>", "definition": "alcmclcm/gcd", "templateType": "anything", "name": "num", "group": "Part a"}, "gcd_ab": {"description": "<p>PART A simplification of fractions in the question.</p>", "definition": "gcd(a,b)", "templateType": "anything", "name": "gcd_ab", "group": "Part a"}, "o": {"description": "", "definition": "random(5..15 except m except n except 7 except 11 except 13)", "templateType": "anything", "name": "o", "group": "Part c"}, "num2unsim": {"description": "<p>PART B</p>", "definition": "flcmhlcm+twolcm2", "templateType": "anything", "name": "num2unsim", "group": "Part b"}}, "preamble": {"css": "fraction {\n  display: inline-block;\n  vertical-align: middle;\n}\nfraction > numerator, fraction > denominator {\n  float: left;\n  width: 100%;\n  text-align: center;\n  line-height: 2.5em;\n}\nfraction > numerator {\n  border-bottom: 1px solid;\n  padding-bottom: 5px;\n}\nfraction > denominator {\n  padding-top: 5px;\n}\nfraction input {\n    line-height: 1em;\n}\n\nfraction .part {\n    margin: 0;\n}\n\n.table-responsive, .fractiontable {\n  display:inline-block;\n}\n.fractiontable {\n  padding: 0; \n  border: 0;\n}\n\n.fractiontable  .tddenom \n{\n text-align: center;\n}\n\n.fractiontable .tdnum \n{\n  border-bottom: 1px solid black; \n  text-align: center;\n}\n\n\n.fractiontable tr {\n    height: 3em;\n}\n", "js": ""}, "tags": ["adding and subtracting fractions", "adding fractions", "converting between decimals and fractions", "converting integers to fractions", "fractions", "Fractions", "integers", "manipulation of fractions", "subtracting fractions", "taxonomy"], "rulesets": {}, "type": "question", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Lauren Richards", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1589/"}, {"name": "Jo-Ann Lyons", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2630/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Lauren Richards", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1589/"}, {"name": "Jo-Ann Lyons", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2630/"}]}