# 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 $$\frac{3}{4}$$ = $$\frac{1}{2}$$

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Fraction in Lowest Terms |Reducing Fractions|Fraction in Simplest Form

Feb 28, 24 04:07 PM

There are two methods to reduce a given fraction to its simplest form, viz., H.C.F. Method and Prime Factorization Method. If numerator and denominator of a fraction have no common factor other than 1…

2. ### Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

Feb 28, 24 01:43 PM

The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with re…

3. ### Fraction as a Part of Collection | Pictures of Fraction | Fractional

Feb 27, 24 02:43 PM

How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it i…

4. ### Fraction of a Whole Numbers | Fractional Number |Examples with Picture

Feb 24, 24 04:11 PM

Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One…