Tick all the equivalent fractions.
\nYou should have no empty options.
", "matrix": [["1", "1", "1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, "0", 0, "1", "1", "1", 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, "1", "1", "1", 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, "0", 0, "1", "1", "1", 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, "1", "1", "1", 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, "1", "1", "1"]], "shuffleAnswers": true, "minAnswers": 0, "variableReplacements": [], "answers": ["$\\frac{\\var{a*o}}{\\var{b*o}}$
", "$\\frac{\\var{a*p}}{\\var{b*p}}$
", "$\\frac{\\var{a*q}}{\\var{b*q}}$
", "$\\frac{\\var{c*r}}{\\var{d*r}}$
", "$\\frac{\\var{c*s}}{\\var{d*s}}$
", "$\\frac{\\var{c*t}}{\\var{d*t}}$
", "$\\frac{\\var{f*u}}{\\var{g*u}}$
", "$\\frac{\\var{f*v}}{\\var{g*v}}$
", "$\\frac{\\var{f*w}}{\\var{g*w}}$
", "$\\frac{\\var{h*x}}{\\var{j*x}}$
", "$\\frac{\\var{h*y}}{\\var{j*y}}$
", "$\\frac{\\var{h*z}}{\\var{j*z}}$
", "$\\frac{\\var{k*aa}}{\\var{l*aa}}$
", "$\\frac{\\var{k*bb}}{\\var{l*bb}}$
", "$\\frac{\\var{k*cc}}{\\var{l*cc}}$
", "$\\frac{\\var{m*dd}}{\\var{n*dd}}$
", "$\\frac{\\var{m*ee}}{\\var{n*ee}}$
", "$\\frac{\\var{m*ff}}{\\var{n*ff}}$
"], "choices": ["$\\frac{\\var{a}}{\\var{b}}$
", "$\\frac{\\var{c}}{\\var{d}}$
", "$\\frac{\\var{f}}{\\var{g}}$
", "$\\frac{\\var{h}}{\\var{j}}$
", "$\\frac{\\var{k}}{\\var{l}}$
", "$\\frac{\\var{m}}{\\var{n}}$
"], "variableReplacementStrategy": "originalfirst", "displayType": "checkbox", "maxMarks": 0, "scripts": {}, "warningType": "none", "marks": 0, "showCorrectAnswer": true, "type": "m_n_x", "shuffleChoices": true, "minMarks": 0, "layout": {"expression": "", "type": "all"}}, {"maxAnswers": 0, "prompt": "Reading across each row check the fraction which is the simplest form of the fraction for that row.
", "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]], "shuffleAnswers": true, "minAnswers": 0, "variableReplacements": [], "answers": ["$\\frac{\\var{gg}}{\\var{hh}}$
", "$\\frac{\\var{ii}}{\\var{jj}}$
", "$\\frac{\\var{jj}}{\\var{kk}}$
", "$\\frac{\\var{hh}}{\\var{ll}}$
", "$\\frac{\\var{kk}}{\\var{mm}}$
", "$\\frac{\\var{gg}}{\\var{nn}}$
", "$\\frac{\\var{gg*oo}}{\\var{hh*oo}}$
", "$\\frac{\\var{gg*pp}}{\\var{hh*pp}}$
", "$\\frac{\\var{ii*qq}}{\\var{jj*qq}}$
", "$\\frac{\\var{ii*rr}}{\\var{jj*rr}}$
", "$\\frac{\\var{jj*ss}}{\\var{kk*ss}}$
", "$\\frac{\\var{jj*tt}}{\\var{kk*tt}}$
", "$\\frac{\\var{hh*uu}}{\\var{ll*uu}}$
", "$\\frac{\\var{hh*vv}}{\\var{ll*vv}}$
", "$\\frac{\\var{kk*ww}}{\\var{mm*ww}}$
", "$\\frac{\\var{kk*xx}}{\\var{mm*xx}}$
", "$\\frac{\\var{gg*yy}}{\\var{nn*yy}}$
", "$\\frac{\\var{gg*zz}}{\\var{nn*zz}}$
"], "choices": ["$\\frac{\\var{gg*aaa}}{\\var{hh*aaa}}$
", "$\\frac{\\var{ii*bbb}}{\\var{jj*bbb}}$
", "$\\frac{\\var{jj*ccc}}{\\var{kk*ccc}}$
", "$\\frac{\\var{hh*ddd}}{\\var{ll*ddd}}$
", "$\\frac{\\var{kk*eee}}{\\var{mm*eee}}$
", "$\\frac{\\var{gg*fff}}{\\var{nn*fff}}$
"], "variableReplacementStrategy": "originalfirst", "displayType": "radiogroup", "maxMarks": "0", "scripts": {}, "warningType": "none", "marks": 0, "showCorrectAnswer": true, "type": "m_n_x", "shuffleChoices": true, "minMarks": 0, "layout": {"expression": "", "type": "all"}}], "extensions": [], "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.
", "variable_groups": [{"variables": ["a", "c", "f", "h", "k", "m"], "name": "Numerators"}, {"variables": ["b", "d", "g", "j", "l", "n"], "name": "Denominators"}, {"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": "Multipliers"}, {"variables": ["gg", "hh", "ii", "jj", "kk", "ll", "mm", "nn"], "name": "Set Values"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"aa": {"definition": "random(2..12 except [bb,cc]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "aa", "description": ""}, "jj": {"definition": "4", "templateType": "anything", "group": "Set Values", "name": "jj", "description": ""}, "cc": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "cc", "description": ""}, "ww": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "ww", "description": ""}, "gg": {"definition": "2", "templateType": "anything", "group": "Set Values", "name": "gg", "description": ""}, "xx": {"definition": "random(2..12 except ww) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "xx", "description": ""}, "vv": {"definition": "random(2..12 except uu) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "vv", "description": ""}, "fff": {"definition": "random(10..20 except [yy,zz]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "fff", "description": ""}, "pp": {"definition": "random(2..12 except oo) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "pp", "description": ""}, "rr": {"definition": "random(2..12 except qq) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "rr", "description": ""}, "p": {"definition": "random(2..12 except [o,q]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "p", "description": ""}, "ll": {"definition": "8", "templateType": "anything", "group": "Set Values", "name": "ll", "description": ""}, "z": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "z", "description": ""}, "bbb": {"definition": "random(10..20 except [qq,rr]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "bbb", "description": ""}, "ee": {"definition": "random(2..12 except ff) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "ee", "description": ""}, "oo": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "oo", "description": ""}, "ddd": {"definition": "random(10..20 except [uu,vv]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "ddd", "description": ""}, "a": {"definition": "random(1..b-1) //random numerator less than the variable for the denominator", "templateType": "anything", "group": "Numerators", "name": "a", "description": ""}, "bb": {"definition": "random(2..12 except cc) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "bb", "description": ""}, "dd": {"definition": "random(2..12 except [ee,ff]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "dd", "description": ""}, "yy": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "yy", "description": ""}, "y": {"definition": "random(2..12 except z) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "y", "description": ""}, "hh": {"definition": "3", "templateType": "anything", "group": "Set Values", "name": "hh", "description": ""}, "ff": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "ff", "description": ""}, "ss": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "ss", "description": ""}, "zz": {"definition": "random(2..12 except yy) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "zz", "description": ""}, "d": {"definition": "random(2..15) //random number for denominator", "templateType": "anything", "group": "Denominators", "name": "d", "description": ""}, "qq": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "qq", "description": ""}, "ii": {"definition": "1", "templateType": "anything", "group": "Set Values", "name": "ii", "description": ""}, "c": {"definition": "random(1..d-1) //random numerator less than the variable for the denominator", "templateType": "anything", "group": "Numerators", "name": "c", "description": ""}, "b": {"definition": "random(2..15) //random number for denominator", "templateType": "anything", "group": "Denominators", "name": "b", "description": ""}, "aaa": {"definition": "random(10..20 except [oo,pp]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "aaa", "description": ""}, "nn": {"definition": "7", "templateType": "anything", "group": "Set Values", "name": "nn", "description": ""}, "g": {"definition": "random(2..15) //random number for denominator", "templateType": "anything", "group": "Denominators", "name": "g", "description": ""}, "f": {"definition": "random(1..g-1) //random numerator less than the variable for the denominator", "templateType": "anything", "group": "Numerators", "name": "f", "description": ""}, "mm": {"definition": "9", "templateType": "anything", "group": "Set Values", "name": "mm", "description": ""}, "h": {"definition": "random(1..j-1) //random numerator less than the variable for the denominator", "templateType": "anything", "group": "Numerators", "name": "h", "description": ""}, "k": {"definition": "random(1..l-1) //random numerator less than the variable for the denominator", "templateType": "anything", "group": "Numerators", "name": "k", "description": ""}, "j": {"definition": "random(2..15) //random number for denominator", "templateType": "anything", "group": "Denominators", "name": "j", "description": ""}, "m": {"definition": "random(1..n-1) //random numerator less than the variable for the denominator", "templateType": "anything", "group": "Numerators", "name": "m", "description": ""}, "l": {"definition": "random(2..15) //random number for denominator", "templateType": "anything", "group": "Denominators", "name": "l", "description": ""}, "o": {"definition": "random(2..12 except q) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "o", "description": ""}, "n": {"definition": "random(2..15) //random number for denominator", "templateType": "anything", "group": "Denominators", "name": "n", "description": ""}, "q": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "q", "description": ""}, "kk": {"definition": "5", "templateType": "anything", "group": "Set Values", "name": "kk", "description": ""}, "s": {"definition": "random(2..12 except t) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "s", "description": ""}, "r": {"definition": "random(2..12 except [s,t]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "r", "description": ""}, "u": {"definition": "random(2..12 except [v,w]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "u", "description": ""}, "t": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "t", "description": ""}, "w": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "w", "description": ""}, "v": {"definition": "random(2..12 except w) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "v", "description": ""}, "eee": {"definition": "random(10..20 except [ww,xx]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "eee", "description": ""}, "x": {"definition": "random(2..12 except [y,z]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "x", "description": ""}, "uu": {"definition": "random(2..12) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "uu", "description": ""}, "tt": {"definition": "random(2..12 except ss) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "tt", "description": ""}, "ccc": {"definition": "random(10..20 except [ss,tt]) //randomly generated multipler for equivalent fractions", "templateType": "anything", "group": "Multipliers", "name": "ccc", "description": ""}}, "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"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Bonny Barkus", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/775/"}]}]}], "contributors": [{"name": "Bonny Barkus", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/775/"}]}