# Recognise Decimal and Fraction Equivalents

In this worksheet, students will be asked to relate fractions to their decimal equivalents.

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Relate Fractions to Decimals

Difficulty level:

#### Worksheet Overview

In this activity, we will be learning to relate fractions to decimals.

We can convert this decimal to a fraction:

1.1 = ?

1.1  = one whole and one tenth

1.1 =  1 and  1/10

0.72 = ?

This time, there are no ones and 72 hundredths.

We write this as 72/100

We can also convert this fraction to a decimal:

7/10 = ?

We have no whole numbers.

We have 7/10. The tenths column in a decimal is the one immediately after the decimal point.

So, 7/10 is written as 0.7

2 and 42/100 = ?

We have 2 whole numbers.

We have 42 hundredths which can be written as 0.42

So, 2 and  42/100 =  2.42

Let's try some examples.

Example 1

Lucy writes a fraction as the decimal 0.2.

What fraction is Lucy thinking of?

The decimal 0.2 has a two in the tenths place.

There are no ones.

0.2 = 2/10 or two tenths

Example 2

Sam has eaten 37/100 of a pizza.

What is this as a decimal?

Sam hasn't eaten as much as a whole pizza (phew!) so there are no whole numbers.

He has eaten 37/100 which can be written as 0.37

So, Sam has eaten 0.37 of a pizza.

Good luck with these questions.

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