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    ​Which of the following fraction falls between 34\frac{3}{4}43​​ and 67\frac{6}{7}76​​ ?​
    Question

    Which of the following fraction falls between 34\frac{3}{4}​ and 67\frac{6}{7}​ ?

    A.

    911\frac{9}{11}​​

    B.

    910\frac{9}{10}​​

    C.

    59\frac{5}{9}​​

    D.

    119\frac{11}{9}​​

    Correct option is A

    Given:

    We are to find which fraction falls between:

    34=0.75and670.857\frac{3}{4} = 0.75 \quad \text{and} \quad \frac{6}{7} \approx 0.857​​

    Solution:

    Options:

    A:9110.818 \frac{9}{11} \approx 0.818​​

    B: 910=0.9\frac{9}{10} = 0.9​​

    C: 590.556\frac{5}{9} \approx 0.556​​

    D: 1191.222\frac{11}{9} \approx 1.222​​
    Check if:

    0.75 < fraction < 0.857

    Option A: 0.75 < 0.818 < 0.857 Correct

    Option B: 0.9 Too high

    Option C: 0.556 Too low

    Option D: 1.222 Too high

    Option A 911\frac{9}{11}​ falls between 34\frac{3}{4}​ and 67.\frac{6}{7}.​​

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