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