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Divide **both** parts of a ratio by the same number to keep its value unchanged.","highlights":[{"text":"32 : 24","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"32:24"},{"latex":"\\frac{32}{\\htmlData{anchor=common_divisor}{8}}:\\frac{24}{8}"},{"latex":"4:3"}],"highlights":[{"color":"amber","style":"box","anchor":"common_divisor"}]},"order":1,"title":"Divide both parts","description":"Use the common factor $8$ on each number in the ratio."}]}],"generatedAt":"2026-09-01T08:51:36.418Z","modelVersion":"gpt-5.6-terra+diagrams-2","explanationVersion":"v3"},"options":[]},{"id":"fe9ad010-03bd-4c12-9fc8-0a38847cdcc8","label":"b","content":"$$\\frac{1}{9}$ of people in a class are left handed.\n\nWrite the ratio of left handed people to right handed people","markscheme":"- Final answer $1 : 8$ B1","marks":1,"order":1,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Correctly identifies the ratio as $1 : 8$.","code":"B"}],"finalAnswers":["1:8"],"generatedAt":"2026-05-07T01:46:59.602Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"compare_class_parts","label":"Compare the class parts","steps":[{"type":"text","order":0,"title":"Find the remaining fraction","content":"The left-handed group is $\\frac{1}{9}$ of the class. The right-handed group is the rest of the whole class, so it is $1-\\frac{1}{9}=\\frac{8}{9}$.","highlights":[{"text":"$$\\frac{1}{9}$ of people in a class are left handed.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=parts}{\\color{@sky}{\\frac{1}{9}:\\frac{8}{9}}}"},{"latex":"\\htmlData{anchor=ratio}{\\color{@green}{1:8}}\\qquad\\text{B1: final answer}"}],"highlights":[{"color":"green","style":"text-color-with-background","anchor":"ratio"}],"connections":[{"to":"ratio","from":"parts","color":"teal","label":"multiply both parts by 9","style":"solid"}]},"order":1,"title":"Write the ratio","description":"Use the two class fractions in the requested order: left handed first, then right handed."}]}],"generatedAt":"2026-07-21T04:02:37.850Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":{"methods":[{"id":"53761eba-360c-4037-ba4a-a1a4b2a65dc2:highest_common_factor","label":"(a) Divide by common factor","steps":[{"type":"text","order":0,"title":"Find a common factor","content":"The highest common factor of $32$ and $24$ is $8$. Divide **both** parts of a ratio by the same number to keep its value unchanged.","highlights":[{"text":"32 : 24","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"32:24"},{"latex":"\\frac{32}{\\htmlData{anchor=common_divisor}{8}}:\\frac{24}{8}"},{"latex":"4:3"}],"highlights":[{"color":"amber","style":"box","anchor":"common_divisor"}]},"order":1,"title":"Divide both parts","description":"Use the common factor $8$ on each number in the ratio."}]},{"id":"fe9ad010-03bd-4c12-9fc8-0a38847cdcc8:compare_class_parts","label":"(b) Compare the class parts","steps":[{"type":"text","order":0,"title":"Find the remaining fraction","content":"The left-handed group is $\\frac{1}{9}$ of the class. 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