Year 4 Convert improper fractions to mixed numbers and vice versa worksheet

“Quarters into wholes” is free to print, with no account. It is the first sheet in the Year 4 maths unit “Convert improper fractions to mixed numbers and vice versa”, 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 27 of the year, 5 sheets in the unit.

Free sample · answers on the last page

Quarters into wholes

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

Today I can change a number of quarters from an improper fraction to a mixed number.

A Look back3 min

1.
4 quarters make whole.
2.
3 groups of 4 is .
3.
2 quarters + 3 quarters = quarters.

B Watch me, then you4 min

Ana has 9 quarters of a cake. How many whole cakes is that, and how many quarters are left over?

Watch me

Four quarters make one whole. 4 + 4 = 8 quarters, which is 2 wholes.

9 − 8 = 1 quarter is left over.

So 9 quarters = 2 and 1 quarter.

Now you

1.
10 quarters. Take away two groups of 4: 10 − 4 − 4 =

C Your turn5 min

Take away groups of four. Write what is left over each time.

1.
7 quarters. Take away one group of 4: 7 − 4 =
2.
11 quarters. Take away two groups of 4: 11 − 4 − 4 =
3.
13 quarters. Take away three groups of 4: 13 − 4 − 4 − 4 =
4.
14 quarters. Take away three groups of 4: 14 − 4 − 4 − 4 =

Say it out loud: What stays the same in each row, and what changes?

D Spot the mistake2 min

Ravi says: “13 quarters is 2 and 5 quarters, so we can stop here.”

1.
So 13 quarters = 3 and quarters.

E Think deeper3 min

Answer the question, then tell your grown-up how you know.

1.
List the numbers of quarters from 1 to 20 that make whole numbers with none left over:

How did it feel?

I can do it Nearly Not yet

For the grown-up

Quarters into wholes · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 1

2. 12

3. 5

B

1. 2 If your child writes 6, only one group of four was taken away. Take away a second group of four, then write what is left.

C

1. 3

2. 3

3. 1 If your child writes 5, only two groups of four were taken away. Take away a third group of four, then write what is left.

4. 2 If your child writes 6, only two groups of four were taken away. Take away a third group of four, then write what is left.

D

1. 1 If your child writes 5, only two groups of four were taken away. 5 quarters is still more than a whole. Take away a third group of four.

E

1. 4, 8, 12, 16, 20. Each is a multiple of 4, so every group of quarters is full.

Words to use

Say“Take groups of four away, then say what is left over.”

Instead of“Just divide the number by 4 and write down whatever answer appears.”

After the sheet

Put 13 buttons on a table, make groups of four, and see how many are left over.

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:

Fifths into mixed numbers(with a plan)
Making mixed numbers(with a plan)
Mixed numbers to fractions(with a plan)
Comparing Mixed and Improper(with a plan)

Every Year 4 maths worksheet

The worksheets plan opens a printable sheet for every lesson in Years 1 to 6, each with its answers on a separate page for you. It costs £6.99 a month or £59 a year for the whole family, with no free trial.

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