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    Simplify: (75÷1415)×(107÷53)\left( \frac{7}{5} \div \frac{14}{15} \right) \times \left( \frac{10}{7} \div \frac{5}{3} \right)(57​÷1514​)×(710​÷35
    Question

    Simplify: (75÷1415)×(107÷53)\left( \frac{7}{5} \div \frac{14}{15} \right) \times \left( \frac{10}{7} \div \frac{5}{3} \right)​​

    A.

    9/7

    B.

    5/7

    C.

    6/7

    D.

    8/7

    Correct option is A

    Given:

    (75÷1415)×(107÷53)\left( \frac{7}{5} \div \frac{14}{15} \right) \times \left( \frac{10}{7} \div \frac{5}{3} \right)

    Solution:

    (75×1514)×(107×35)\left( \frac{7}{5} \times \frac{15} {14}\right) \times \left( \frac{10}{7} \times \frac35 \right)

    32×67\frac 32 \times \frac67 =97\frac 97​​

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