// Numbas version: exam_results_page_options
{"name": "Number entry - Getting Started ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Number entry - Getting Started ", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>To enter a fraction you must put a forward slash (/) between the numerator and the denominator</p>\n<p>e.g., <span class=\"x_mjxassistivemathml\">&nbsp;,$\\frac{3}{5}$=</span>&nbsp;3/5&nbsp;</p>\n<p>For fractions with more than one term, the numerator and the denominator need to be in brackets</p>\n<p>e.g.,&nbsp; $\\frac{3+2x}{5+y}$ = (3+2x)/(5+5y)</p>\n<p class=\"x_MsoNormal\">Complete the following calculations and display the correct answer as a fraction in its simplest form:</p>", "advice": "<h3>To add fractions there are Three Simple Steps:</h3>\n<div class=\"bigul\">\n<ul>\n<li>Step 1: Make sure the bottom numbers (the&nbsp;<span class=\"denom\">denominators</span>) are the same</li>\n<li>Step 2: Add the top numbers (the&nbsp;<span class=\"numer\">numerators</span>), put that answer over the&nbsp;<span class=\"denom\">denominator</span></li>\n<li>Step 3: Simplify the fraction (if needed)</li>\n</ul>\n<h3>Answer (a):</h3>\n<h3><strong>$\\frac{1}{4}$ +&nbsp;$\\frac{1}{4}$</strong></h3>\n<div class=\"clear\">\n<p><b>Step 1.</b>&nbsp;The bottom numbers (the&nbsp;<span class=\"denom\">denominators</span>) are already the same. Go straight to step 2.</p>\n</div>\n<p><b>Step 2.</b>&nbsp;Add the top numbers and put the answer over the same&nbsp;<span class=\"denom\">denominator</span>:</p>\n<div class=\"clear\">\n<p class=\"center large\">$\\frac{1+1}{4}$ =&nbsp;$\\frac{2}{4}$&nbsp;</p>\n<p class=\"center large\"><b>Step 3.&nbsp;</b>Simplify the fraction:</p>\n<p class=\"center large\"><strong>Hint:</strong> divide the top and bottom by 2.</p>\n</div>\n<div class=\"clear\">\n<p class=\"center larger\">$\\frac{1}{2}$&nbsp;</p>\n<p>In picture form it looks like this:</p>\n</div>\n<table>\n<tbody>\n<tr class=\"large\">\n<td>$\\frac{1}{4}$</td>\n<td>+</td>\n<td>$\\frac{1}{4}$</td>\n<td>=</td>\n<td>$\\frac{2}{4}$</td>\n<td>=</td>\n<td>$\\frac{1}{2}$</td>\n</tr>\n<tr>\n<td><img src=\"https://www.mathsisfun.com/images/fractions/pie-1-4.jpg\" alt=\"1/4\" width=\"120\" height=\"120\"/></td>\n<td class=\"large\">&nbsp;</td>\n<td><img src=\"https://www.mathsisfun.com/images/fractions/pie-1-4.jpg\" alt=\"1/4\" width=\"120\" height=\"120\"/></td>\n<td class=\"large\">&nbsp;</td>\n<td><img src=\"https://www.mathsisfun.com/images/fractions/pie-2-4.jpg\" alt=\"2/4\" width=\"120\" height=\"120\"/></td>\n<td class=\"large\">&nbsp;</td>\n<td><img src=\"https://www.mathsisfun.com/images/fractions/pie-1-2.jpg\" alt=\"1/2\" width=\"120\" height=\"120\"/></td>\n</tr>\n</tbody>\n</table>\n<p class=\"center\">... and do you see how $\\frac{2}{4}$ is simpler as $\\frac{1}{2}$</p>\n<p class=\"center\"></p>\n<h3>Answer (b):</h3>\n<div class=\"clear\">\n<p><b>Step 1.</b>&nbsp;The&nbsp;<span class=\"denom\">denominators</span>&nbsp;are already the same. Go straight to step 2.</p>\n</div>\n<p><b>Step 2.</b>&nbsp;Add the top expressions and put the answer over the same&nbsp;<span class=\"denom\">denominator</span>:</p>\n<div class=\"clear\">\n<p class=\"center large\">$\\frac{6x+9y}{7y+2}$&nbsp;</p>\n<p class=\"center large\"><b>Step 3.&nbsp;</b>Simplify the fraction:&nbsp;the fraction is already as simple as possible!&nbsp;&nbsp;&nbsp;</p>\n</div>\n<p class=\"center\"></p>\n</div>", "rulesets": {}, "extensions": [], "variables": {"num": {"name": "num", "group": "Ungrouped variables", "definition": "1/2", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["num"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\frac{1}{4}$ +&nbsp;$\\frac{1}{4}$&nbsp;</p>", "minValue": "num", "maxValue": "num", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "showFractionHint": true, "notationStyles": ["plain"], "correctAnswerStyle": "plain"}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\frac{6x}{7y+2}$ + $\\frac{9y}{7y+2}$&nbsp;</p>", "answer": "(6x+9y)/(7y+2)  ", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}, {"name": "y", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ahmed Al-Razaz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4865/"}]}]}], "contributors": [{"name": "Ahmed Al-Razaz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4865/"}]}