# Multiplying proper fractions

### Multiplying proper fractions

Unlike the previous sections, this section will only deal with multiplications with fractions only, specifically proper fractions. To do so, we will need to multiply the numerators together and then the denominators together. We also will learn the trick of simplifying fractions in order to reduce the answers to the lowest form.

#### Lessons

• Introduction
a)
Simplify fractions: Method A - By using greatest common factors

b)
Simplify fractions: Method B - By using common factors

c)
How to multiply fractions with cross-cancelling?

• 1.
Estimate and solve. Give the answers in the lowest form.
a)
$\frac{1}{4} \times \frac{3}{4}$

b)
$\frac{2}{7} \times \frac{5}{8}$

c)
$\frac{5}{7} \times \frac{7}{{10}}$

• 2.
In April last year, $\frac{2}{5}$ of the month has records of rainfall. $\frac{1}{4}$ of these rainy days fell on weekends.
a)
What fraction of rainfall happened on weekends in April last year?

b)
How many of these rainy days were on weekends?