Question

Which of the following fractions lie between 2 and 3 on number line?

• A. $\frac{13}{3}$
• B. $\frac{9}{4}$
• C. $\frac{8}{3}$
• D. $\frac{1}{3}$

Answer 1

Answer: (B), (C)

The correct options are
B $\frac{9}{4}$
C $\frac{8}{3}$

Let us convert the given fractions into mixed fractions.

i.e., $\frac{13}{3}=4\frac{1}{3}$
$⟹\frac{13}{3}$ lies between 4 and 5.

Similarly, $\frac{9}{4}=2\frac{1}{4}.$
$⟹\frac{9}{4}$ lies between 2 and 3.
And,
$\frac{8}{3}=2\frac{2}{3}.$
$⟹\frac{8}{3}$ lies between 2 and 3.

Note that $0<\frac{1}{3}<1.$ Thus, $\frac{1}{3}$ lies between 0 and 1.