Maths · Decimals and fractions matching worksheet
Decimals and Fractions Worksheet (Free KS2 Maths)
This free printable worksheet helps children in Years 3 and 4 connect the fractions they already know to their decimal equivalents. It focuses on the tenths and the everyday fractions one half, one quarter and three quarters, which are exactly the equivalents named in the Year 4 maths curriculum.
Children match fractions to decimals, write tenths in decimal form and place a few decimals on a number line, while a long, friendly caterpillar made of ten equal segments gives them something cheerful to colour. It is designed to print neatly onto a single A4 page for use at home or in the classroom.
Decimals and Fractions Caterpillar
Free Maths worksheet · Ages 8 to 10
Match the fraction to its decimal
Write the matching decimal next to each fraction. Use the word bank to help you. Then colour the caterpillar however you like.
1/10 as a decimal
3/10 as a decimal
7/10 as a decimal
one half (1/2) as a decimal
one quarter (1/4) as a decimal
three quarters (3/4) as a decimal
True or false: tick the correct statements
Tick the box next to each statement that is true. Cross out the ones that are wrong.
- On a number line, 0.5 sits exactly halfway between 0 and 1.
- One quarter is the same as 0.25.
- 5/10 and 0.5 are the same amount.
- One quarter is the same as 0.4.
- Three quarters is smaller than one half.
Decimals and Fractions Caterpillarowee.worldAnswer key
- 1/10 as a decimal — 0.1
- 3/10 as a decimal — 0.3
- 7/10 as a decimal — 0.7
- one half (1/2) as a decimal — 0.5
- one quarter (1/4) as a decimal — 0.25
- three quarters (3/4) as a decimal — 0.75
- On a number line, 0.5 sits exactly halfway between 0 and 1. — tick
- One quarter is the same as 0.25. — tick
- 5/10 and 0.5 are the same amount. — tick
What this worksheet covers
The activities ask children to recognise and write decimal equivalents of tenths (such as 3/10 = 0.3) and of the common fractions one half, one quarter and three quarters (0.5, 0.25 and 0.75). A short tick-box section checks understanding of a number line, where decimals are ordered just like whole numbers but with values between them. Together these tasks rehearse the idea that a fraction and a decimal can describe exactly the same amount, only written in different ways.
Why decimal equivalents matter in Year 4
Decimal notation is introduced in Year 4 and becomes central to money, measurement and later work on percentages and place value. Children who can move fluently between 1/2 and 0.5, or 1/4 and 0.25, find it far easier to read prices, measure in centimetres and metres, and reason about quantities. Practising a small, well-chosen set of equivalents first builds the confidence needed for hundredths and more complex conversions in Years 5 and 6.
How to use it at home or in class
Begin by reminding the child that 'tenths' means a whole split into ten equal parts, which is why the caterpillar has ten segments. Encourage them to say each value aloud, for example 'three tenths is the same as zero point three'. For the half, quarter and three-quarter equivalents, a folded strip of paper or a clock face can help: half past is 0.5 of the way round, quarter past is 0.25. Keep sessions short and let colouring the caterpillar be a relaxed reward once the maths is done.
Common mix-ups to watch for
A frequent error is writing 1/4 as 0.4 instead of 0.25, because children read the '4' as the digit after the point. Gently model that a quarter is half of a half, so it must be less than 0.5. Another mix-up is treating 0.5 and 0.05 as the same; placing values on a number line helps show that 0.5 sits halfway between 0 and 1. Saying values precisely as 'five tenths' rather than 'point five' often clears up the confusion.
Frequently asked questions
What age is this decimals and fractions worksheet for?
It is aimed at children aged 8 to 10, covering Year 4 (KS2) objectives on decimal equivalents of tenths and of one half, one quarter and three quarters. Confident Year 3 children and Year 5 children needing revision can use it too.
Is the worksheet free to print?
Yes. The worksheet is completely free to download and print. It is laid out to fit on a single A4 page so it is easy to use at home or in the classroom.
What is the decimal equivalent of one half, one quarter and three quarters?
One half is 0.5, one quarter is 0.25 and three quarters is 0.75. These are the exact equivalents children are expected to recognise and write in Year 4 maths.
How do you write tenths as decimals?
Each tenth is written with one digit after the decimal point, so 1/10 is 0.1, 3/10 is 0.3 and 7/10 is 0.7. The worksheet gives children practice writing several tenths in this form.
Which curriculum does this worksheet follow?
It follows the England National Curriculum for mathematics, specifically the Year 4 fractions (including decimals) objectives on writing decimal equivalents of tenths and of 1/4, 1/2 and 3/4.
Curriculum links
- Year 4 Number, fractions (including decimals): recognise and write decimal equivalents of any number of tenths or hundredths.
- Year 4 Number, fractions (including decimals): recognise and write decimal equivalents to 1/4, 1/2 and 3/4.
- Year 4 Number, fractions (including decimals): round decimals with one decimal place to the nearest whole number, and compare numbers with the same number of decimal places up to two decimal places.
- Year 3 Number, fractions: recognise, find and write fractions of a discrete set of objects, building the understanding of fractions that decimals later extend.
Made by The Owee education team. Updated 02/06/2026. Free to print and share.
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