// Numbas version: exam_results_page_options
{"name": "Simplifying Fractions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["multiple", "simpdenom", "simpnum", "denominator", "numerator", "ansstring", "n1", "n2"], "name": "Simplifying Fractions", "tags": ["fractions"], "advice": "<p>See step.</p>", "rulesets": {"std": ["all", "fractionNumbers"]}, "parts": [{"stepsPenalty": 0, "prompt": "<p>What's &nbsp;$\\frac {\\var{Numerator}} {\\var{Denominator} }$ in its simplest form (please enter your answer in the form a/b)? Answer: [[0]];</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "displayAnswer": "{AnsString}", "scripts": {}, "answer": "{AnsString}", "marks": 1, "type": "patternmatch"}], "steps": [{"prompt": "<p>You need to find a number that divides exactly into $\\var{Numerator}$ and $\\var{Denominator}$ (a \"common factor\").</p>\n<p>When you've found one, you can simplify the fraction $\\frac {\\var{Numerator}} {\\var{Denominator}}$ by dividing $\\var{Numerator}$ and $\\var{Denominator}$ by the common factor.</p>\n<p>Carry on until there aren't any more common factors..</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "extensions": [], "statement": "<p>Simplify this fractions to its lowest terms, by cancelling.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"multiple": {"definition": "random(2,3,4,5,7,8,19,20,25) //Restrict possible multiples", "templateType": "anything", "group": "Ungrouped variables", "name": "multiple", "description": ""}, "simpdenom": {"definition": "Denominator/gcd(Numerator,Denominator)", "templateType": "anything", "group": "Ungrouped variables", "name": "simpdenom", "description": ""}, "simpnum": {"definition": "Numerator/gcd(Numerator,Denominator)", "templateType": "anything", "group": "Ungrouped variables", "name": "simpnum", "description": ""}, "denominator": {"definition": "n1*Multiple  //denom = n1*Multiple, num = EITHER n1 (if n2 > Multiple) OR n1 * n2", "templateType": "anything", "group": "Ungrouped variables", "name": "denominator", "description": ""}, "numerator": {"definition": "if(n2 < Multiple,n1*n2,n1)  //we want the Numerator to be less than the denominator", "templateType": "anything", "group": "Ungrouped variables", "name": "numerator", "description": ""}, "ansstring": {"definition": "SimpNum + \"/\" +  simpDenom", "templateType": "anything", "group": "Ungrouped variables", "name": "ansstring", "description": ""}, "n1": {"definition": "random(2..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "n1", "description": ""}, "n2": {"definition": "random(1..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "n2", "description": ""}}, "metadata": {"description": "<p>Cancelling to reduce a fraction to its lowest terms.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Rob Cade", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/70/"}]}]}], "contributors": [{"name": "Rob Cade", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/70/"}]}