// Numbas version: finer_feedback_settings
{"name": "Luis's copy of Express given fractions with different denominators", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"advice": "<p>a) Observe that $\\var{k} \\div \\var{p} =\\var{q}$, so we multiply top and bottom by $\\var{q}$ to get $\\dfrac{\\var{a*q}}{\\var{p*q}}$.</p>\n<p>The numerator is then the number on the top, i.e., $\\var{a*q}$.</p>\n<p>b) Observe that $\\var{t*k} =\\var{t} \\times \\var{k}$, so we divide top and bottom by $\\var{t}$ to get $\\dfrac{\\var{s}}{\\var{k}}$.</p>\n<p>The numerator is then the number on the top, i.e., $\\var{s}$.</p>\n<p>c) Observe that $\\var{l} \\div \\var{2*p2} =\\var{q2}$, so we multiply top and bottom by $\\var{q2}$ to get $\\dfrac{\\var{b*q2}}{\\var{2*p2*q2}}$.</p>\n<p>The numerator is then the number on the top, i.e., $\\var{b*q2}$.</p>\n<p>d) Observe that $\\var{t2*l} =\\var{t2} \\times \\var{l}$, so we divide top and bottom by $\\var{t2}$ to get $\\dfrac{\\var{s2}}{\\var{l}}$.</p>\n<p>The numerator is then the number on the top, i.e., $\\var{s2}$.</p>\n<p></p>\n<p></p>", "preamble": {"css": "", "js": ""}, "question_groups": [{"questions": [], "pickingStrategy": "all-ordered", "pickQuestions": 0, "name": ""}], "name": "Luis's copy of Express given fractions with different denominators", "variable_groups": [], "type": "question", "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "<p>Express each the following fractions as a fraction with the given denominator. Write the numerator in the given box.</p>", "parts": [{"variableReplacements": [], "prompt": "<p>$\\dfrac{\\var{a}}{\\var{p}}$</p>\n      <p>If expressed with denominator $\\var{k}$, the numerator is [[0]].</p>", "scripts": {}, "gaps": [{"allowFractions": false, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{m}", "maxValue": "{m}", "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "marks": 1, "showPrecisionHint": false}], "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showCorrectAnswer": true, "marks": 0}, {"variableReplacements": [], "prompt": "<p>$\\dfrac{\\var{s*t}}{\\var{t*k}}$</p>\n      <p>If expressed with denominator $\\var{k}$, the numerator is [[0]].</p>", "scripts": {}, "gaps": [{"allowFractions": false, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{s}", "maxValue": "{s}", "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "marks": 1, "showPrecisionHint": false}], "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showCorrectAnswer": true, "marks": 0}, {"variableReplacements": [], "prompt": "<p>$\\dfrac{\\var{b}}{\\var{2*p2}}$</p>\n      <p>If expressed with denominator $\\var{l}$, the numerator is [[0]].</p>", "scripts": {}, "gaps": [{"allowFractions": false, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{n}", "maxValue": "{n}", "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "marks": 1, "showPrecisionHint": false}], "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showCorrectAnswer": true, "marks": 0}, {"variableReplacements": [], "prompt": "<p>$\\dfrac{\\var{t2*s2}}{\\var{t2*l}}$</p>\n      <p>If expressed with denominator $\\var{l}$, the numerator is [[0]].</p>", "scripts": {}, "gaps": [{"allowFractions": false, "variableReplacements": [], "correctAnswerFraction": false, "minValue": "{s2}", "maxValue": "{s2}", "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "marks": 1, "showPrecisionHint": false}], "variableReplacementStrategy": "originalfirst", "type": "gapfill", "showCorrectAnswer": true, "marks": 0}], "ungrouped_variables": ["a", "p2", "c", "b", "s2", "k", "m", "l", "n", "q", "p", "s", "q2", "t", "t2"], "metadata": {"notes": "", "description": "<p>Questions testing understanding of numerators and denominators of numerical fractions.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "tags": ["checked2015", "Fractions", "fractions", "SFY0001"], "showQuestionGroupNames": false, "rulesets": {}, "variables": {"n": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "n", "definition": "b*q2"}, "t": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "t", "definition": "random(2..11)"}, "b": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "b", "definition": "random(2..29 except a)"}, "q": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "q", "definition": "random(5,7,11,13,17)"}, "s": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "s", "definition": "random(2..7)"}, "p": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "p", "definition": "random(5,7,11,13,17)"}, "t2": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "t2", "definition": "random(2..11 except t)"}, "l": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "l", "definition": "2*p2*q2"}, "c": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "c", "definition": "2*p2"}, "p2": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "p2", "definition": "random(5,7,11,13,17)"}, "s2": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "s2", "definition": "random(2..7 except s)"}, "k": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "k", "definition": "p*q"}, "m": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "m", "definition": "a*q"}, "a": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "a", "definition": "random(2..29)"}, "q2": {"templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "q2", "definition": "random(5,7,11,13,17)"}}, "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}