Question

Which of the following fraction lies between $\frac{3}{4}$and $\frac{5}{6}$?

• A. $\frac{1}{2}$
• B. $\frac{19}{24}$
• C. $\frac{1}{4}$
• D. $\frac{11}{6}$

Answer 1

The correct option is B

$\frac{19}{24}$

Given unlike fractions are $\frac{3}{4}$ and $\frac{5}{6}$ .

Convert each unlike fractions into like fractions by obtaining L.C.M of their denominators , we get

L.C.M of $4$ and $6=12$

$\frac{3}{4}=\frac{3\times 6}{4\times 6}=\frac{18}{24}$

$\frac{5}{6}=\frac{5\times 4}{6\times 4}=\frac{20}{24}$

It is clear from above that $\frac{19}{24}$ lies between $\frac{3}{4}$ and $\frac{5}{6}$.

Thus, option B is the correct answer