Fraction Multippcation

Rules for fraction multippcation

To get the product of two fractions

We multiply the numerators.

We multiply the denominators.

If required, we cross cancel or simppfy before multiplying.

In such a case, we get a fraction in lowest terms.

Example

Multiply $frac{4}{5}$ × $frac{7}{9}$

Solution

Step 1:

Multiply the numerators and denominators of both fractions as follows.

$frac{4}{5}$ × $frac{7}{9}$ = $frac{(4 × 7)}{(5 × 9)}$ = $frac{28}{45}$

Step 2:

So, $frac{4}{5}$ × $frac{7}{9}$ = $frac{28}{45}$

Multiply $frac{4}{5}$ × $frac{10}{16}$ and write the answer as a fraction in simplest form

Solution

Step 1:

We multiply the numerators and denominators of both fractions as follows.

$frac{4}{5}$ × $frac{10}{16}$ = $frac{(4 × 10)}{(5 × 16)}$ = $frac{40}{80}$

Step 2:

Dividing numerator and denominator with the gcf of 40 and 80 which is 40.

So, $frac{40÷40}{80÷40}$ = $frac{1}{2}$

Step 3:

$frac{4}{5}$ × $frac{10}{16}$ = $frac{1}{2}$

This is the answer as a fraction in simplest form.

Multiply $frac{3}{4}$ × $frac{12}{15}$ and write the answer as a fraction in simplest form

Solution

Step 1:

We cross cancel 3 and 15 diagonally; we also cross cancel 4 and 12 diagonally.

$frac{3}{4}$ × $frac{12}{15}$ = $frac{1}{1}$ × $frac{3}{5}$

Step 2:

We multiply the numerators. Then we multiply the denominators.

$frac{1}{1}$ × $frac{3}{5}$ = $frac{(1 × 3)}{(1 × 5)}$ = $frac{3}{5}$

Step 3:

So $frac{3}{4}$ × $frac{12}{15}$= $frac{3}{5}$

This is already in simplest form.