# Fraction of a Fraction

Here we will learn fraction of a fraction.

Let us look at the picture of a chocolate bar. The chocolate bar has 6 parts in it. Each part of the chocolate is equal to $$\frac{1}{6}$$. Sharon wants to eat $$\frac{1}{2}$$ of one chocolate part.

What is $$\frac{1}{2}$$ of $$\frac{1}{6}$$?

$$\frac{1}{2}$$ of $$\frac{1}{6}$$ = $$\frac{1}{2}$$ × $$\frac{1}{6}$$ = $$\frac{1}{12}$$

$$\frac{1}{2}$$ of $$\frac{1}{6}$$ is equal to $$\frac{1}{12}$$

So, to find the fraction of a fraction we directly multiply $$\frac{1}{2}$$ by $$\frac{1}{6}$$.

Solved Examples on Fraction of a Fraction:

Find $$\frac{2}{3}$$ of $$\frac{3}{4}$$.

Solution:

$$\frac{2}{3}$$ of $$\frac{3}{4}$$

= $$\frac{2}{3}$$ × $$\frac{3}{4}$$

= $$\frac{6}{12}$$

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

So, $$\frac{2}{3}$$ of $$\frac{3}{4}$$ = $$\frac{1}{2}$$