(Mathematics 5)

Equivalent fractions

Equivalent fractions

Group Activity 1

In groups of four:

Take four equal rectangular paper strips.
Label the first strip one whole as shown.

Fold the second paper strip into two equal parts along the length to get halves.

Fold the third paper into four equal parts to get quarters.

Fold the fourth paper into eight equal parts to get eighths.

Glue the four paper strips on a manila paper to form a fraction chart as shown.
Discuss and share with other groups.

Fraction Chart

Note

$\frac{1}{2} = \frac{2}{4}, \frac{1}{2} = \frac{4}{8}$

The fractions $\frac{2}{4}$ and $\frac{4}{8}$ are equivalent fractions of $\frac{1}{2} .$

$\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4};$ $\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}$

Example 1

Find two equivalent fractions of $\frac{3}{4} .$

$\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$

$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$

Exercise A

A1

Copy and complete the equivalent fraction chart shown.

$\frac{1}{4} = \frac{}{} = \frac{}{}$
$\frac{3}{6} = \frac{}{} = \frac{}{}$
$\frac{2}{3} = \frac{}{} = \frac{}{}$
$\frac{3}{4} = \frac{}{} = \frac{}{}$

$\frac{1}{5} = \frac{1 \times}{5 \times} = \frac{2}{10}$
$\frac{1}{3} = \frac{1 \times}{3 \times} = \frac{4}{12}$
$\frac{3}{5} = \frac{3 \times}{5 \times} = \frac{}{10}$
$\frac{2}{3} = \frac{2 \times}{3 \times} = \frac{8}{}$

$\frac{1}{2} = \frac{}{6}$
$\frac{2}{5} = \frac{4}{}$
$\frac{3}{4} = \frac{}{12}$

A5

Use IT devices to learn more about equivalent fractions.