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Which of the following fractions is greater than 85\frac{8}{5}58​ and less than 74\frac{7}{4}47​?​
Question

Which of the following fractions is greater than 85\frac{8}{5} and less than 74\frac{7}{4}?​

A.

27\frac{2}{7}​​

B.

83\frac{8}{3}​​

C.

1911\frac{19}{11}​​

D.

14\frac{1}{4}​​

Correct option is C

Given:

85=1.6074=1.75\begin{aligned}& \frac{8}{5}=1.60 \\& \frac{7}{4}=1.75\end{aligned} 

Solution:

Given options are-

14=0.25832.67270.285719111.73 Hence, only 1911 fits. \begin{aligned}&\begin{aligned}& \frac{1}{4}=0.25 \\& \frac{8}{3} \approx 2.67 \\& \frac{2}{7} \approx 0.2857 \\& \frac{19}{11} \approx 1.73\end{aligned}\\&\text { Hence, only } \frac{19}{11} \text { fits. }\end{aligned}​​​​

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