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    Which of the following is the smallest fraction?76,79,45,57\frac{7}{6},\frac{7}{9},\frac{4}{5},\frac{5}{7}67​,97​,54​,75​​
    Question

    Which of the following is the smallest fraction?

    76,79,45,57\frac{7}{6},\frac{7}{9},\frac{4}{5},\frac{5}{7}

    A.

    76\frac{7}{6}​​

    B.

    45\frac{4}{5}​​

    C.

    79\frac{7}{9}​​

    D.

    57\frac{5}{7}​​

    Correct option is D

    Given:

    The fractions are:
    76,79,45,57\frac{7}{6}, \frac{7}{9}, \frac{4}{5}, \frac{5}{7}​​

    Solution:
    Convert each fraction to its decimal form:

    76=1.1667\frac{7}{6} = 1.1667​​

    79=0.7778\frac{7}{9} = 0.7778​​

    45=0.8\frac{4}{5} = 0.8​​

    57=0.7143\frac{5}{7} = 0.7143​​

    The smallest decimal value is 0.7143, which corresponds to 57.\frac{5}{7}.​​

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