// Numbas version: finer_feedback_settings
{"name": "Algebra. Algebraic fractions. Addition, subtraction, mult and division. short", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "ungrouped_variables": ["a", "b", "c", "d", "f"], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Practice with adding, subtracting and dividing basic algebraic fractions</p>"}, "functions": {}, "parts": [{"checkVariableNames": false, "variableReplacements": [], "answerSimplification": "all", "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "showPreview": true, "showFeedbackIcon": true, "marks": 1, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "vsetRange": [0, 1], "showCorrectAnswer": true, "scripts": {}, "unitTests": [], "type": "jme", "prompt": "<p>\\[ \\frac{\\var{a}}{x} \\times&nbsp;\\frac{\\var{d}}{\\var{b}y} \\]</p>", "answer": "({a*d})/({b}x*y)", "expectedVariableNames": [], "vsetRangePoints": 5, "checkingType": "absdiff"}, {"checkVariableNames": false, "variableReplacements": [], "answerSimplification": "all", "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "showPreview": true, "showFeedbackIcon": true, "marks": 1, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "vsetRange": [0, 1], "showCorrectAnswer": true, "scripts": {}, "unitTests": [], "type": "jme", "prompt": "<p>\\[ \\frac{\\var{d}}{x} \\div&nbsp;\\frac{\\var{c}}{\\var{a}y} \\]</p>", "answer": "({a*d}y)/({c}x)", "expectedVariableNames": [], "vsetRangePoints": 5, "checkingType": "absdiff"}, {"checkVariableNames": false, "variableReplacements": [], "answerSimplification": "all", "failureRate": 1, "extendBaseMarkingAlgorithm": true, "checkingAccuracy": 0.001, "showPreview": true, "showFeedbackIcon": true, "marks": "2", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "vsetRange": [0, 1], "showCorrectAnswer": true, "scripts": {}, "unitTests": [], "type": "jme", "prompt": "<p><span style=\"display: inline !important; float: none; background-color: transparent; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;\">\\[ \\frac{\\var{c}}{(\\var{d} + y)} - \\frac{\\var{b}}{(\\var{a} + x)}\\]</span></p>", "answer": "({a*c -b*d} + {c}x - {b}y)/(({d} + y)*({a} + x))", "expectedVariableNames": [], "vsetRangePoints": 5, "checkingType": "absdiff"}], "extensions": [], "preamble": {"js": "", "css": ""}, "rulesets": {}, "variables": {"f": {"templateType": "randrange", "name": "f", "definition": "random(2..12#1)", "description": "", "group": "Ungrouped variables"}, "c": {"templateType": "anything", "name": "c", "definition": "random(2..9)", "description": "", "group": "Ungrouped variables"}, "a": {"templateType": "anything", "name": "a", "definition": "random(2..8)", "description": "", "group": "Ungrouped variables"}, "d": {"templateType": "anything", "name": "d", "definition": "random(2..15)", "description": "", "group": "Ungrouped variables"}, "b": {"templateType": "anything", "name": "b", "definition": "random(2..9)", "description": "", "group": "Ungrouped variables"}}, "advice": "<p>See Lecture 3.1 and Workshop 3.2 for background and examples.</p>\n<p>If the examples I used are not helpful, then try&nbsp;https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions.&nbsp; Note that the phrase `rational expression' basically means `algebraic fraction'.</p>", "tags": [], "statement": "<p>Express the following as a single fraction.</p>", "name": "Algebra. Algebraic fractions. Addition, subtraction, mult and division. short", "variablesTest": {"condition": "", "maxRuns": 100}, "type": "question", "contributors": [{"name": "", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}, {"name": "Katy Dobson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/854/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}]}], "contributors": [{"name": "", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}, {"name": "Katy Dobson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/854/"}, {"name": "Lovkush Agarwal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1358/"}]}