Learn | Grasp Maths

Lesson overview

Number - fractions

Equivalent fractions show the same amount even though they use different numbers. We can find them by multiplying or dividing the numerator and denominator by the same number.

Same amount, different names

$\frac{1}{2}$ , $\frac{2}{4}$ and $\frac{5}{10}$ are all equivalent.

The amount stays the same when the parts are split evenly.

Use multiplication

$\frac{3}{5}$ becomes $\frac{6}{10}$ when both parts are doubled.

Multiply top and bottom by the same number.

Link to hundredths

$\frac{7}{10}$ is the same as $\frac{70}{100}$ .

Tenths can be renamed as hundredths.

Worked example

Write two equivalent fractions for $\frac{4}{5}$ .

Multiply numerator and denominator by 2.
That gives $\frac{8}{10}$ .
Multiply numerator and denominator by 4.
That gives $\frac{16}{20}$ .

Round 1: Learn it

Keep the fraction balanced by changing the numerator and denominator in the same way.

Finish this round to unlock Round 2: Show you know it.

Question 1

Which fraction is equivalent to $\frac{1}{2}$ ?

Question 2

Which is equivalent to $\frac{3}{5}$ ?

Question 3

$\frac{7}{10}$ is the same as which hundredths fraction?

Question 4

Which pair is equivalent?

Question 5

Which fraction equals $\frac{2}{4}$ ?

Common mistakes

Watch for these as you work through the lesson.

Changing only the numerator or only the denominator.
Using a different multiplier on the top and bottom.
Thinking fractions with different numbers cannot be equal.

Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

Lesson overview

Worked example

Round 1: Learn it

Common mistakes

Related topics

Independent practice will plug in here