Question

Which of the following fractions lie between $\frac{3}{8}$ and $\frac{7}{8}$ on the number line?

• A. 1/2
• B. 1/4
• C. 20/16
• D. 9/8

Answer 1

The correct option is A

1/2

Convert all the options to a form where they all have their denominators as 8.

$\frac{1}{4}=\frac{2}{8}$

​$\frac{1}{2}=\frac{4}{8}$

​$\frac{9}{8}=\frac{9}{8}$

​$\frac{20}{16}=\frac{10}{8}$

so $\frac{4}{8}$ lies between $\frac{3}{8}$ and $\frac{7}{8}$ as 3 $<$ 4 $<$ 7