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Which of the following rational number lies between 14\frac{1}{4}41​​ and 12\frac{1}{2}21​​.
Question

Which of the following rational number lies between 14\frac{1}{4}​ and 12\frac{1}{2}​.

A.

18\frac{1}{8}​​

B.

35\frac{3}{5}​​

C.

38\frac{3}{8}​​

D.

16\frac{1}{6}​​

Correct option is C

Given:
We are to find a rational number that lies between14 \frac 14​ (0.25) and 12\frac 12​(0.5).
Solution:
Convert All Options to Decimals:
18=0.125(less than 0.25)35=0.6(greater than 0.5)38=0.375(between 0.25 and 0.5)160.166(less than 0.25)\begin{align*}\frac{1}{8} &= 0.125 \quad (\text{less than } 0.25) \\\frac{3}{5} &= 0.6 \quad (\text{greater than } 0.5) \\\frac{3}{8} &= 0.375 \quad (\text{between } 0.25 \text{ and } 0.5) \\\frac{1}{6} &\approx 0.166 \quad (\text{less than } 0.25)\end{align*}​​
38 lies between 14 and 12\frac{3}{8} \text{ lies between } \frac{1}{4} \text{ and } \frac{1}{2}​​

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