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 \(\frac{1}{6}\)?

Fraction of a Fraction

\(\frac{1}{2}\) 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 \(\frac{3}{4}\).


\(\frac{2}{3}\) of \(\frac{3}{4}\)

= \(\frac{2}{3}\) × \(\frac{3}{4}\)

= \(\frac{6}{12}\)

= \(\frac{1}{2}\)

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

4th Grade Math Activities

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