Question

Which of the following fractions is less than $\frac{7}{8}$ and greater than $\frac{1}{3}$?

• A. $\frac{1}{4}$
• B. $\frac{23}{24}$
• C. $\frac{11}{12}$
• D. $\frac{17}{24}$

Answer 1

The correct option is D $\frac{17}{24}$

$\frac{1}{3}=0.333000,$ $\frac{7}{8}=0.875$
$\frac{1}{4}=0.25,$ $\frac{23}{24}=0.9583000,$ $\frac{11}{12}=0.9166000$
$\frac{17}{24}=0.7083000$
Since $0.7083000(=\frac{17}{24})$ is greater than
$0.333000(=\frac{1}{3})$ and less than $0.875(=\frac{17}{24})$$(=\frac{7}{8})$
Therefore $\frac{17}{24}$ lies between $\frac{1}{3}$ and $\frac{7}{8}$