Question

Between which two numbers would $\frac{37}{5}$ lie?

• A. 5 and 6
• B. 6 and 7
• C. 7 and 8
• D. 8 and 9

Answer 1

The correct option is C 7 and 8

$\frac{37}{5}=\frac{35+2}{5}=\frac{35}{5}+\frac{2}{5}=7+\frac{2}{5}$.

$\frac{0}{5}=0<\frac{2}{5}<\frac{5}{5}=1$; hence $\frac{2}{5}$ is a proper fraction.

After adding 7 to a proper fraction (lies between 0 and 1 ), the result will be greater than 7 but less than 8. So,
$7<7+\frac{2}{5}<8$
$\Rightarrow 7<\frac{37}{5}<8$, i.e., option (c.) is the correct one.