Tick all the equivalent fractions.
\nYou should have no empty options.
", "answers": ["$\\frac{\\var{a*o}}{\\var{b*o}}$
", "$\\frac{\\var{a*p}}{\\var{b*p}}$
", "$\\frac{\\var{a*q}}{\\var{b*q}}$
", "$\\frac{\\var{c*r}}{\\var{d*r}}$
", "$\\frac{\\var{c*s}}{\\var{d*s}}$
", "$\\frac{\\var{c*t}}{\\var{d*t}}$
", "$\\frac{\\var{f*u}}{\\var{g*u}}$
", "$\\frac{\\var{f*v}}{\\var{g*v}}$
", "$\\frac{\\var{f*w}}{\\var{g*w}}$
", "$\\frac{\\var{h*x}}{\\var{j*x}}$
", "$\\frac{\\var{h*y}}{\\var{j*y}}$
", "$\\frac{\\var{h*z}}{\\var{j*z}}$
", "$\\frac{\\var{k*aa}}{\\var{l*aa}}$
", "$\\frac{\\var{k*bb}}{\\var{l*bb}}$
", "$\\frac{\\var{k*cc}}{\\var{l*cc}}$
", "$\\frac{\\var{m*dd}}{\\var{n*dd}}$
", "$\\frac{\\var{m*ee}}{\\var{n*ee}}$
", "$\\frac{\\var{m*ff}}{\\var{n*ff}}$
"], "warningType": "none", "shuffleAnswers": true, "type": "m_n_x", "maxAnswers": 0, "minAnswers": 0, "displayType": "checkbox", "choices": ["$\\frac{\\var{a}}{\\var{b}}$
", "$\\frac{\\var{c}}{\\var{d}}$
", "$\\frac{\\var{f}}{\\var{g}}$
", "$\\frac{\\var{h}}{\\var{j}}$
", "$\\frac{\\var{k}}{\\var{l}}$
", "$\\frac{\\var{m}}{\\var{n}}$
"], "variableReplacements": [], "shuffleChoices": true, "marks": 0}, {"matrix": [["1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, "1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, "1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, "1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, "1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, "1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "variableReplacementStrategy": "originalfirst", "maxMarks": "0", "scripts": {}, "layout": {"type": "all", "expression": ""}, "showCorrectAnswer": true, "minMarks": 0, "prompt": "Reading across each row check the fraction which is the simplest form of the fraction for that row.
", "answers": ["$\\frac{\\var{gg}}{\\var{hh}}$
", "$\\frac{\\var{ii}}{\\var{jj}}$
", "$\\frac{\\var{jj}}{\\var{kk}}$
", "$\\frac{\\var{hh}}{\\var{ll}}$
", "$\\frac{\\var{kk}}{\\var{mm}}$
", "$\\frac{\\var{gg}}{\\var{nn}}$
", "$\\frac{\\var{gg*oo}}{\\var{hh*oo}}$
", "$\\frac{\\var{gg*pp}}{\\var{hh*pp}}$
", "$\\frac{\\var{ii*qq}}{\\var{jj*qq}}$
", "$\\frac{\\var{ii*rr}}{\\var{jj*rr}}$
", "$\\frac{\\var{jj*ss}}{\\var{kk*ss}}$
", "$\\frac{\\var{jj*tt}}{\\var{kk*tt}}$
", "$\\frac{\\var{hh*uu}}{\\var{ll*uu}}$
", "$\\frac{\\var{hh*vv}}{\\var{ll*vv}}$
", "$\\frac{\\var{kk*ww}}{\\var{mm*ww}}$
", "$\\frac{\\var{kk*xx}}{\\var{mm*xx}}$
", "$\\frac{\\var{gg*yy}}{\\var{nn*yy}}$
", "$\\frac{\\var{gg*zz}}{\\var{nn*zz}}$
"], "warningType": "none", "shuffleAnswers": true, "type": "m_n_x", "maxAnswers": 0, "minAnswers": 0, "displayType": "radiogroup", "choices": ["$\\frac{\\var{gg*aaa}}{\\var{hh*aaa}}$
", "$\\frac{\\var{ii*bbb}}{\\var{jj*bbb}}$
", "$\\frac{\\var{jj*ccc}}{\\var{kk*ccc}}$
", "$\\frac{\\var{hh*ddd}}{\\var{ll*ddd}}$
", "$\\frac{\\var{kk*eee}}{\\var{mm*eee}}$
", "$\\frac{\\var{gg*fff}}{\\var{nn*fff}}$
"], "variableReplacements": [], "shuffleChoices": true, "marks": 0}], "metadata": {"description": "This question is designed to give you some practice with cancelling down and multiplying up fractions.
\nYou do not need a calculator for these.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "variable_groups": [{"name": "Numerators", "variables": ["a", "c", "f", "h", "k", "m"]}, {"name": "Denominators", "variables": ["b", "d", "g", "j", "l", "n"]}, {"name": "Multipliers", "variables": ["o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z", "aa", "bb", "cc", "dd", "ee", "ff", "oo", "pp", "qq", "rr", "ss", "tt", "uu", "vv", "ww", "xx", "yy", "zz", "aaa", "bbb", "ccc", "ddd", "eee", "fff"]}, {"name": "Set Values", "variables": ["gg", "hh", "ii", "jj", "kk", "ll", "mm", "nn"]}], "variablesTest": {"condition": "", "maxRuns": 100}, "type": "question", "extensions": [], "ungrouped_variables": [], "variables": {"g": {"description": "", "templateType": "anything", "name": "g", "definition": "random(2..15) //random number for denominator", "group": "Denominators"}, "x": {"description": "", "templateType": "anything", "name": "x", "definition": "random(2..12 except [y,z]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "q": {"description": "", "templateType": "anything", "name": "q", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "ii": {"description": "", "templateType": "anything", "name": "ii", "definition": "1", "group": "Set Values"}, "mm": {"description": "", "templateType": "anything", "name": "mm", "definition": "9", "group": "Set Values"}, "m": {"description": "", "templateType": "anything", "name": "m", "definition": "random(1..n-1) //random numerator less than the variable for the denominator", "group": "Numerators"}, "jj": {"description": "", "templateType": "anything", "name": "jj", "definition": "4", "group": "Set Values"}, "aaa": {"description": "", "templateType": "anything", "name": "aaa", "definition": "random(10..20 except [oo,pp]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "t": {"description": "", "templateType": "anything", "name": "t", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "w": {"description": "", "templateType": "anything", "name": "w", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "ss": {"description": "", "templateType": "anything", "name": "ss", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "l": {"description": "", "templateType": "anything", "name": "l", "definition": "random(2..15) //random number for denominator", "group": "Denominators"}, "a": {"description": "", "templateType": "anything", "name": "a", "definition": "random(1..b-1) //random numerator less than the variable for the denominator", "group": "Numerators"}, "d": {"description": "", "templateType": "anything", "name": "d", "definition": "random(2..15) //random number for denominator", "group": "Denominators"}, "hh": {"description": "", "templateType": "anything", "name": "hh", "definition": "3", "group": "Set Values"}, "p": {"description": "", "templateType": "anything", "name": "p", "definition": "random(2..12 except [o,q]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "dd": {"description": "", "templateType": "anything", "name": "dd", "definition": "random(2..12 except [ee,ff]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "tt": {"description": "", "templateType": "anything", "name": "tt", "definition": "random(2..12 except ss) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "y": {"description": "", "templateType": "anything", "name": "y", "definition": "random(2..12 except z) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "ee": {"description": "", "templateType": "anything", "name": "ee", "definition": "random(2..12 except ff) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "vv": {"description": "", "templateType": "anything", "name": "vv", "definition": "random(2..12 except uu) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "qq": {"description": "", "templateType": "anything", "name": "qq", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "h": {"description": "", "templateType": "anything", "name": "h", "definition": "random(1..j-1) //random numerator less than the variable for the denominator", "group": "Numerators"}, "aa": {"description": "", "templateType": "anything", "name": "aa", "definition": "random(2..12 except [bb,cc]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "u": {"description": "", "templateType": "anything", "name": "u", "definition": "random(2..12 except [v,w]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "ll": {"description": "", "templateType": "anything", "name": "ll", "definition": "8", "group": "Set Values"}, "rr": {"description": "", "templateType": "anything", "name": "rr", "definition": "random(2..12 except qq) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "ff": {"description": "", "templateType": "anything", "name": "ff", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "s": {"description": "", "templateType": "anything", "name": "s", "definition": "random(2..12 except t) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "n": {"description": "", "templateType": "anything", "name": "n", "definition": "random(2..15) //random number for denominator", "group": "Denominators"}, "ddd": {"description": "", "templateType": "anything", "name": "ddd", "definition": "random(10..20 except [uu,vv]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "oo": {"description": "", "templateType": "anything", "name": "oo", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "k": {"description": "", "templateType": "anything", "name": "k", "definition": "random(1..l-1) //random numerator less than the variable for the denominator", "group": "Numerators"}, "r": {"description": "", "templateType": "anything", "name": "r", "definition": "random(2..12 except [s,t]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "pp": {"description": "", "templateType": "anything", "name": "pp", "definition": "random(2..12 except oo) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "cc": {"description": "", "templateType": "anything", "name": "cc", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "kk": {"description": "", "templateType": "anything", "name": "kk", "definition": "5", "group": "Set Values"}, "gg": {"description": "", "templateType": "anything", "name": "gg", "definition": "2", "group": "Set Values"}, "yy": {"description": "", "templateType": "anything", "name": "yy", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "bb": {"description": "", "templateType": "anything", "name": "bb", "definition": "random(2..12 except cc) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "j": {"description": "", "templateType": "anything", "name": "j", "definition": "random(2..15) //random number for denominator", "group": "Denominators"}, "c": {"description": "", "templateType": "anything", "name": "c", "definition": "random(1..d-1) //random numerator less than the variable for the denominator", "group": "Numerators"}, "bbb": {"description": "", "templateType": "anything", "name": "bbb", "definition": "random(10..20 except [qq,rr]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "ccc": {"description": "", "templateType": "anything", "name": "ccc", "definition": "random(10..20 except [ss,tt]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "ww": {"description": "", "templateType": "anything", "name": "ww", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "uu": {"description": "", "templateType": "anything", "name": "uu", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "xx": {"description": "", "templateType": "anything", "name": "xx", "definition": "random(2..12 except ww) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "eee": {"description": "", "templateType": "anything", "name": "eee", "definition": "random(10..20 except [ww,xx]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "nn": {"description": "", "templateType": "anything", "name": "nn", "definition": "7", "group": "Set Values"}, "z": {"description": "", "templateType": "anything", "name": "z", "definition": "random(2..12) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "v": {"description": "", "templateType": "anything", "name": "v", "definition": "random(2..12 except w) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "zz": {"description": "", "templateType": "anything", "name": "zz", "definition": "random(2..12 except yy) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "b": {"description": "", "templateType": "anything", "name": "b", "definition": "random(2..15) //random number for denominator", "group": "Denominators"}, "fff": {"description": "", "templateType": "anything", "name": "fff", "definition": "random(10..20 except [yy,zz]) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "o": {"description": "", "templateType": "anything", "name": "o", "definition": "random(2..12 except q) //randomly generated multipler for equivalent fractions", "group": "Multipliers"}, "f": {"description": "", "templateType": "anything", "name": "f", "definition": "random(1..g-1) //random numerator less than the variable for the denominator", "group": "Numerators"}}, "functions": {}, "advice": "", "tags": [], "name": "Fractions - Equivalent Fractions", "showQuestionGroupNames": false, "question_groups": [{"pickQuestions": 0, "pickingStrategy": "all-ordered", "questions": [], "name": ""}], "statement": "These two questions check that you can match equivalent fractions and find the simplest form of different fractions.
\nYou should be able to do these without a calculator.
", "contributors": [{"name": "steve kilgallon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/268/"}]}]}], "contributors": [{"name": "steve kilgallon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/268/"}]}