// Numbas version: finer_feedback_settings
{"name": "22.g Finding equivalent fractions", "extensions": [], "custom_part_types": [], "resources": [["question-resources/equivalent_fractions.svg", "equivalent_fractions.svg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "22.g Finding equivalent fractions", "tags": [], "metadata": {"description": "<p>Finding equivalent fractions, and expressing fractions in their simplest form.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "", "advice": "<p>These are equivalent fractions so the same number that multiplied the numerator must multiply the denominator.</p>\n<p></p>\n<hr/>\n<p></p>\n<p>For example given:</p>\n<p>\\[\\frac{\\var{num1}}{\\var{denom1}}=\\frac{}{\\var{denom2}}\\]</p>\n<p>you can see the denominator of $\\var{denom1}$ was multiplied by $\\var{mult1}$ to become $\\var{denom2}$, so to make an equivalent fraction, we would need to multiply the numerator by $\\var{mult1}$ as well. So the blank must be $\\var{num1}\\times \\var{mult1}$ which is $\\var{num2}$. Your working might look like this:</p>\n<p>\\[\\frac{\\var{num1}}{\\var{denom1}}=\\frac{\\var{num1}\\times \\var{mult1}}{\\var{denom1}\\times \\var{mult1}}=\\frac{\\var{num2}}{\\var{denom2}}.\\]</p>\n<p></p>\n<p><a href=\"https://www.sheffield.ac.uk/mash/maths-resources/maths-all#Fractions\" target=\"_blank\" rel=\"noopener\">Use this link to find some resources which will help you revise this topic.</a></p>", "rulesets": {"std": ["all"]}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"denom1": {"name": "denom1", "group": "Ungrouped variables", "definition": "random(2..12 except num1)", "description": "", "templateType": "anything", "can_override": false}, "num4": {"name": "num4", "group": "Ungrouped variables", "definition": "num1*mult3", "description": "", "templateType": "anything", "can_override": false}, "denom3": {"name": "denom3", "group": "Ungrouped variables", "definition": "denom1*mult2", "description": "", "templateType": "anything", "can_override": false}, "denom2": {"name": "denom2", "group": "Ungrouped variables", "definition": "denom1*mult1", "description": "", "templateType": "anything", "can_override": false}, "num1": {"name": "num1", "group": "Ungrouped variables", "definition": "random(1..12)", "description": "", "templateType": "anything", "can_override": false}, "num2": {"name": "num2", "group": "Ungrouped variables", "definition": "num1*mult1", "description": "", "templateType": "anything", "can_override": false}, "num3": {"name": "num3", "group": "Ungrouped variables", "definition": "num1*mult2", "description": "", "templateType": "anything", "can_override": false}, "denom4": {"name": "denom4", "group": "Ungrouped variables", "definition": "denom1*mult3", "description": "", "templateType": "anything", "can_override": false}, "mult3": {"name": "mult3", "group": "Ungrouped variables", "definition": "random(2..10 except [mult1, mult2])", "description": "", "templateType": "anything", "can_override": false}, "mult2": {"name": "mult2", "group": "Ungrouped variables", "definition": "random(2..10 except mult1)", "description": "", "templateType": "anything", "can_override": false}, "mult1": {"name": "mult1", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["num1", "denom1", "mult1", "num2", "denom2", "mult2", "num3", "denom3", "mult3", "num4", "denom4"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ".fractiontable table {\n  width: 40%; \n  padding: 0px; \n  border-width: 0px; \n  layout: fixed;\n}\n\n.fractiontable  .tddenom \n{\n text-align: center;\n}\n\n.fractiontable .tdnum \n{\n  width: 15%; \n  border-bottom: 1px solid black; \n  text-align: center;\n}\n\n.fractiontable .tdeq \n{\n  width: 5%; \n  border-bottom: 0px;\n  font-size: x-large;\n}\n\n\n.fractiontable th {\n    background-color:#aaa;\n}\n/*Fix the height of all cells EXCEPT table-headers to 40px*/\n.fractiontable td {\n    height:40px;\n}\n"}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<div class=\"fractiontable\">\n<p>Please enter numbers to create equivalent fractions.</p>\n<table>\n<tbody>\n<tr>\n<td class=\"tdnum\">{num1}</td>\n<td class=\"tdeq\">=</td>\n<td class=\"tdnum\">[[0]]</td>\n<td class=\"tdeq\">=</td>\n<td class=\"tdnum\">{num3}</td>\n<td class=\"tdeq\">=</td>\n<td class=\"tdnum\">[[2]]</td>\n</tr>\n<tr>\n<td class=\"tddenom\">{denom1}</td>\n<td></td>\n<td class=\"tddenom\">{denom2}</td>\n<td></td>\n<td class=\"tddenom\">[[1]]</td>\n<td></td>\n<td class=\"tddenom\">{denom4}</td>\n</tr>\n</tbody>\n</table>\n</div>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "num2", "maxValue": "num2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "denom3", "maxValue": "denom3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "num4", "maxValue": "num4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}, {"name": "Andrew Neate", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21832/"}], "resources": ["question-resources/equivalent_fractions.svg"]}]}], "contributors": [{"name": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}, {"name": "Andrew Neate", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21832/"}]}