The procedure for multiplying like fractions is as follows:

1. Multiply the numerators of both the fractions

2. Multiply the denominators of both the fractions

3. Write the product fraction by placing the product of numerators over the product of the denominators

4. Simplify the fraction by canceling the common factors in the numerator and the denominator.

5. Write the fraction in the lowest terms.

Let us look at few examples on multiplying fractions with like denominators.

### Examples for multiplying like fractions

Given below are some examples on multiplying like fractions

**Example 1:**

Find the product of $\frac{2}{4}$ and $\frac{3}{4}$

**Solution:**

In the fractions $\frac{2}{4}$ and $\frac{3}{4}$

The product of the numerator is 2 x 3 = 6

The product of the denominator is 4 x 4 = 16

Now, place the product of numerator over the product of the denominator

$\frac{2}{4}$ X $\frac{3}{4}$ = $\frac{6}{16}$

Reducing the product fraction into the simplest form, we get

$\frac{6}{16}$ = $\frac{(2\times3)}{(2\times8)}$ = $\frac{3}{8}$

Therefore, the product of $\frac{2}{4}$ and $\frac{3}{4}$ is $\frac{3}{8}$

**Example 2:**

Find the product of $\frac{5}{6}$ and $\frac{4}{6}$

**Solution:**

In the fractions $\frac{5}{6}$ and $\frac{4}{6}$

The product of the numerator is 5 x 4 = 20

The product of the denominator is 6 x 6 = 36

Now, place the product of the numerator over the product of the denominator

$\frac{5}{6}$ X $\frac{4}{6}$ = $\frac{20}{36}$

Reducing the product fraction into the simplest form, we get

$\frac{20}{36}$ = $\frac{2\times10}{2\times18}$ = $\frac{10}{18}$

Therefore, the product of $\frac{5}{6}$ and $\frac{4}{6}$ is $\frac{10}{18}$