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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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