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Ratio given with fractions: convert to whole numbers, then find a part

This type of question, asked 2 times: 24 Jul 2023 S2, 13 Sep 2025 S3. All 2 questions below, oldest first.

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  1. Question 1

    24 Jul 2023 S2

    53
    Three numbers are in the ratio 45:56:910\frac{4}{5} : \frac{5}{6} : \frac{9}{10}. The difference between the smallest and the greatest numbers is 12. Find the number which is NEITHER the smallest NOR the greatest.

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  2. Question 2

    13 Sep 2025 S3

    53
    A rod is divided in the ratio 25:310:12\frac{2}{5} : \frac{3}{10} : \frac{1}{2}. Total length = 66 m. Find the smallest piece.

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