// Numbas version: finer_feedback_settings
{"name": "Reduce fractions to lowest terms", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "variables": {"d": {"group": "Ungrouped variables", "templateType": "anything", "definition": "gcd(a,b)", "name": "d", "description": ""}, "j": {"group": "Ungrouped variables", "templateType": "anything", "definition": "f*h", "name": "j", "description": ""}, "f": {"group": "Ungrouped variables", "templateType": "anything", "definition": "a/d", "name": "f", "description": ""}, "b2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..50 except a2)", "name": "b2", "description": ""}, "a": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..50)", "name": "a", "description": ""}, "k": {"group": "Ungrouped variables", "templateType": "anything", "definition": "g*h", "name": "k", "description": ""}, "d2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "gcd(a2,b2)", "name": "d2", "description": ""}, "h": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..25)", "name": "h", "description": ""}, "f2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "a2/d2", "name": "f2", "description": ""}, "b": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..50 except a)", "name": "b", "description": ""}, "g": {"group": "Ungrouped variables", "templateType": "anything", "definition": "b/d", "name": "g", "description": ""}, "g2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "b2/d2", "name": "g2", "description": ""}, "a2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..50)", "name": "a2", "description": ""}, "h2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..25)", "name": "h2", "description": ""}, "k2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "g2*h2", "name": "k2", "description": ""}, "j2": {"group": "Ungrouped variables", "templateType": "anything", "definition": "f2*h2", "name": "j2", "description": ""}}, "ungrouped_variables": ["a", "f2", "b", "d", "g", "f", "h2", "h", "k", "j", "j2", "k2", "a2", "b2", "d2", "g2"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "name": "Reduce fractions to lowest terms", "showQuestionGroupNames": false, "functions": {}, "parts": [{"scripts": {}, "gaps": [{"showPrecisionHint": false, "allowFractions": false, "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{f}", "correctAnswerFraction": false, "marks": 1, "maxValue": "{f}"}, {"showPrecisionHint": false, "allowFractions": false, "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{g}", "correctAnswerFraction": false, "marks": 1, "maxValue": "{g}"}], "type": "gapfill", "showCorrectAnswer": true, "prompt": "<p>$\\dfrac{\\var{j}}{\\var{k}}$</p>\n      <p>In lowest terms, the numerator is [[0]], the denominator is [[1]]</p>", "marks": 0}, {"scripts": {}, "gaps": [{"showPrecisionHint": false, "allowFractions": false, "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{f2}", "correctAnswerFraction": false, "marks": 1, "maxValue": "{f2}"}, {"showPrecisionHint": false, "allowFractions": false, "scripts": {}, "type": "numberentry", "showCorrectAnswer": true, "minValue": "{g2}", "correctAnswerFraction": false, "marks": 1, "maxValue": "{g2}"}], "type": "gapfill", "showCorrectAnswer": true, "prompt": "<p>$\\dfrac{\\var{j2}}{\\var{k2}}$</p>\n      <p>In lowest terms, the numerator is [[0]], the denominator is [[1]]</p>", "marks": 0}], "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "<p>Reduce the following fractions to lowest terms. Write the numerator and denominator of the lowest term fraction in the boxes provided.</p>", "tags": ["checked2015", "Fractions", "Lowest terms", "SFY0001"], "rulesets": {}, "preamble": {"css": "", "js": ""}, "type": "question", "metadata": {"notes": "", "licence": "Creative Commons Attribution 4.0 International", "description": "<p>Questions testing understanding of numerators and denominators of numerical fractions, and reduction to lowest terms.</p>"}, "advice": "<p>a) We observe that the highest common factor (the largest number dividing both) of $\\var{j}, \\var{k}$ is $\\var{h}$, so we divide top and bottom by $\\var{h}$ to get $\\dfrac{\\var{f}}{\\var{g}}$. Therefore, in lowest terms, the numerator is $\\var{f}$, the denominator is $\\var{g}$.</p>\n  <p>b) We observe that the highest common factor (the largest number dividing both) of $\\var{j2}, \\var{k2}$ is $\\var{h2}$, so we divide top and bottom by $\\var{h2}$ to get $\\dfrac{\\var{f2}}{\\var{g2}}$. Therefore, in lowest terms, the numerator is $\\var{f2}$, the denominator is $\\var{g2}$.</p>", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}