Year 4 Composition of fractions greater than one worksheet

“Whole numbers and fractions” is free to print, with no account. It is the first sheet in the Year 4 maths unit “Composition of fractions greater than one”, for children aged 8 to 9, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Week 24 of the year, 5 sheets in the unit.

Free sample · answers on the last page

Whole numbers and fractions

Name: ____________ · Date: ____________
Year 4 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can write a mixed number with the whole number first, then the fraction beside it.

A Look back3 min

1.
1/2 = /4
2.
Half of 10 is
3.
3/4 + 1/4 =

B Watch me, then you4 min

Ali eats one whole cheese bar and half of another bar. How much did Ali eat?

Watch me

One whole bar is a full bar, so the whole number is 1.

Half of the next bar is the fraction part.

Write the whole first, then the fraction beside it: 1 1/2.

Now you

1.
Which card shows one and a quarter?
1 1/41/4 111/41 4

C Your turn6 min

Each picture shows the fraction part. The whole number is in the words.

1.
Two wholes and one third of a bar. Which is the correct way to write it?
2 1/31/3 221/33 1/2
2.
Two wholes and two thirds of a bar. Which is the correct way to write it?
2 2/32/3 222/33 2/3
3.
Three wholes and two thirds of a bar. Which is the correct way to write it?
3 2/32/3 332/32 3/3
4.
Three wholes and two fifths of a bar. Which is the correct way to write it?
3 2/52/5 332/53 2/3

Say it out loud: Which number changed from one card to the next, and what stayed the same?

D Spot the mistake3 min

Sam says: “Three and two fifths is written 2/5 3, because the fraction goes first.”

1.
Which is the right way to write three and two fifths?
3 2/52/5 332/5

E Think deeper3 min

1.
Write a mixed number that is more than 2 and less than 3. Explain how you know.

How did it feel?

I can do it Nearly Not yet

For the grown-up

Whole numbers and fractions · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 2

2. 5

3. 1

B

1. 1 1/4 If your child picks 1/4 1, the fraction has gone first. Say the whole number first, then write the fraction beside it.

C

1. 2 1/3 If your child picks 1/3 2, the fraction has been put first. Say the whole number first, then the fraction.

2. 2 2/3 If your child picks 3 2/3, count the whole bars in the words again. There are two wholes here.

3. 3 2/3 If your child picks 2 3/3, the whole number and the fraction have been swapped about. The whole number is 3 and the fraction is 2/3.

4. 3 2/5

D

1. 3 2/5 If your child picks 2/5 3, the fraction has gone first. Say the whole number first, then write the fraction beside it.

E

1. Look for: A mixed number with whole part 2 and a fraction part, such as 2 1/2, with a reason it is between 2 and 3. If your child writes a number with no fraction part, ask where it sits on the line. It must be past 2 but not yet 3, so add a fraction part.

Words to use

Say“Which whole number comes first, and what is the fraction part?”

Instead of“Tell them the answer is 2 1/3 so they can copy it.”

After the sheet

Fold two paper strips into thirds. Shade all of one strip and one part of the other. Write 1 1/3 together, whole number first.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

4 more sheets come with a StudyDen plan, in teaching order:

Building mixed numbers(with a plan)
Mixed numbers in pieces(with a plan)
Mixed numbers in problems(with a plan)
Labelling number lines(with a plan)

Every Year 4 maths worksheet

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