// Numbas version: finer_feedback_settings
{"name": "emma's copy of Fractions - Four Operations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["a", "b", "c", "d", "f", "g", "j", "m", "p", "r", "t", "v", "x", "z", "bb", "dd", "ff", "hh", "jj", "ll", "nn", "pp", "rr", "tt", "h", "k", "l", "n", "o", "q", "s", "u", "w", "y", "aa", "cc", "ee", "gg", "ii", "kk", "mm", "oo", "qq", "ss"], "question_groups": [{"questions": [], "name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0}], "extensions": [], "variable_groups": [], "showQuestionGroupNames": false, "parts": [{"minValue": "(a*c)/(b*b)", "showPrecisionHint": false, "steps": [{"minValue": "a*c", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Multiply the numerators</p>", "maxValue": "a*c", "correctAnswerFraction": false, "variableReplacements": []}, {"minValue": "b*b", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Multiply the denominators</p>", "maxValue": "b*b", "correctAnswerFraction": false, "variableReplacements": []}, {"minValue": "(a*c)/(b*b)", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": true, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Put into a fration</p>", "maxValue": "(a*c)/(b*b)", "correctAnswerFraction": true, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": 0, "prompt": "<p>What is the answer to $\\frac{\\var{a}}{\\var{b}} \\times \\frac{\\var{c}}{\\var{b}}$?</p>", "maxValue": "(a*c)/(b*b)", "allowFractions": true, "variableReplacements": []}, {"minValue": "d/g", "showPrecisionHint": false, "steps": [{"minValue": "f/g", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": true, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Filp the second fraction</p>", "maxValue": "f/g", "correctAnswerFraction": true, "variableReplacements": []}, {"minValue": "(d*f)/(g*f)", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": true, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Multiply the fractions as above</p>", "maxValue": "(d*f)/(g*f)", "correctAnswerFraction": true, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": 0, "prompt": "<p>What is the answer to $\\frac{\\var{d}}{\\var{f}} \\div \\frac{\\var{g}}{\\var{f}}$?</p>", "maxValue": "d/g", "allowFractions": true, "variableReplacements": []}, {"minValue": "(h+k)/j", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Check to see if the denominators are the same</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}, {"minValue": "h+k", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": true, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Add the numerators</p>", "maxValue": "h+k", "correctAnswerFraction": true, "variableReplacements": []}, {"minValue": "(h+k)/j", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Write as a fraction over the similar denominator; cancel down if you can.</p>", "maxValue": "(h+k)/j", "correctAnswerFraction": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": 0, "prompt": "<p>What is the answer to $\\frac{\\var{h}}{\\var{j}} + \\frac{\\var{k}}{\\var{j}}$?</p>", "maxValue": "(h+k)/j", "allowFractions": true, "variableReplacements": []}, {"minValue": "(l-n)/m", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Check to see if the denominators are the same</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}, {"minValue": "abs((l-n))", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Subtract the numerators</p>", "maxValue": "abs((l-n))", "correctAnswerFraction": false, "variableReplacements": []}, {"minValue": "(abs((l-n)))/m", "showPrecisionHint": false, "variableReplacementStrategy": "originalfirst", "marks": 1, "scripts": {}, "allowFractions": false, "type": "numberentry", "showCorrectAnswer": true, "prompt": "<p>Create a fraction with the original denominator; cancel down if you can.</p>", "maxValue": "(abs((l-n)))/m", "correctAnswerFraction": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": 0, "prompt": "<p>What is the answer to $\\frac{\\var{l}}{\\var{m}} - \\frac{\\var{n}}{\\var{m}}$?</p>", "maxValue": "(l-n)/m", "allowFractions": true, "variableReplacements": []}, {"minValue": "(o*q)/(p*r)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Multiply the numerators to make the top of the fraction</p>\n<p>Multiply the denominators to make the bottom of the fraction</p>\n<p>Cancel down if you can</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "1", "prompt": "<p>What is the answer to $\\frac{\\var{o}}{\\var{p}} \\times \\frac{\\var{q}}{\\var{r}}$?</p>", "maxValue": "(o*q)/(p*r)", "allowFractions": true, "variableReplacements": []}, {"minValue": "(s*v)/(u*t)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Flip the second fraction</p>\n<p>Multiply through as before</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "1", "prompt": "<p>What is the answer to $\\frac{\\var{s}}{\\var{t}} \\div \\frac{\\var{u}}{\\var{v}}$?</p>", "maxValue": "(s*v)/(u*t)", "allowFractions": true, "variableReplacements": []}, {"minValue": "((w*z)+(y*x))/(x*z)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Check to see if the denominators are the same</p>\n<p>If they are not - multiply each fraction up to equivalent fractions with equal denominators</p>\n<p>Once they are equal add the numerators and put over the equal denominator</p>\n<p>Cancel down if needed</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "1", "prompt": "<p>What is the answer to $\\frac{\\var{w}}{\\var{x}} + \\frac{\\var{y}}{\\var{z}}$?</p>", "maxValue": "((w*z)+(y*x))/(x*z)", "allowFractions": true, "variableReplacements": []}, {"minValue": "((aa*dd)-(cc*bb))/(bb*dd)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Check to see if the denominators are the same</p>\n<p>If they are not - multiply each fraction up to equivalent fractions with equal denominators</p>\n<p>Once they are equal subtract&nbsp;the numerators and put over the equal denominator</p>\n<p>Cancel down if needed</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "1", "prompt": "<p>What is the answer to $\\frac{\\var{aa}}{\\var{bb}} - \\frac{\\var{cc}}{\\var{dd}}$?</p>", "maxValue": "((aa*dd)-(cc*bb))/(bb*dd)", "allowFractions": true, "variableReplacements": []}, {"minValue": "(ee*gg)/(ff*hh)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Follow through the steps from the first and fifth questions</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "3", "prompt": "<p>What is the answer to $\\frac{\\var{ee}}{\\var{ff}} \\times&nbsp;\\frac{\\var{gg}}{\\var{hh}}$?</p>", "maxValue": "(ee*gg)/(ff*hh)", "allowFractions": true, "variableReplacements": []}, {"minValue": "(ii*ll)/(jj*kk)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Follow the steps from the second and sixth questions</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "3", "prompt": "<p>What is the answer to $\\frac{\\var{ii}}{\\var{jj}} \\div \\frac{\\var{kk}}{\\var{ll}}$?</p>", "maxValue": "(ii*ll)/(jj*kk)", "allowFractions": true, "variableReplacements": []}, {"minValue": "((mm*pp)+(nn*oo))/(nn*pp)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Follow the steps from the third &nbsp;and seventh questions</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "3", "prompt": "<p>What is the answer to $\\frac{\\var{mm}}{\\var{nn}} + \\frac{\\var{oo}}{\\var{pp}}$?</p>", "maxValue": "((mm*pp)+(nn*oo))/(nn*pp)", "allowFractions": true, "variableReplacements": []}, {"minValue": "((qq*tt)-(rr*ss))/(rr*tt)", "showPrecisionHint": false, "steps": [{"scripts": {}, "type": "information", "showCorrectAnswer": true, "prompt": "<p>Follow the steps from the fourth and eighth questions</p>", "marks": 0, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "marks": "3", "scripts": {}, "showCorrectAnswer": true, "correctAnswerFraction": true, "type": "numberentry", "stepsPenalty": "3", "prompt": "<p>What is the answer to $\\frac{\\var{qq}}{\\var{rr}} - \\frac{\\var{ss}}{\\var{tt}}$?</p>", "maxValue": "((qq*tt)-(rr*ss))/(rr*tt)", "allowFractions": true, "variableReplacements": []}], "rulesets": {}, "advice": "", "statement": "<p>These are basic questions to help you practice adding, subtracting, multiplying and dividing fractions.</p>\n<p>You should be able to do these without a calculator.</p>\n<p>You can show steps to help you with the methods. &nbsp;You will lose marks for continuously veiwing steps.</p>", "name": "emma's copy of Fractions - Four Operations", "type": "question", "preamble": {"js": "", "css": ""}, "variables": {"o": {"templateType": "anything", "definition": "random(1..p-1) //random numerator less than denominator", "name": "o", "description": "", "group": "Ungrouped variables"}, "l": {"templateType": "anything", "definition": "random(1..m-1) //random numerator less than denominator", "name": "l", "description": "", "group": "Ungrouped variables"}, "f": {"templateType": "anything", "definition": "random(2..20) //random denominator", "name": "f", "description": "", "group": "Ungrouped variables"}, "dd": {"templateType": "anything", "definition": "random(2..20) //random 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