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Convert Fractions

In this worksheet, students will be asked to convert fractions using either tenths, hundredths or thousandths as the denominator.

'Convert Fractions' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Let's recap some helpful facts that will help us to convert fractions.

 

A thousandth is a tenth of a hundredth.

So 10 thousandths make 1 hundredth.


 

A hundredth is a tenth of a tenth.

So 10 hundredths make 1 tenth.

 

 


And 100 thousandths make 1 tenth too.

 

 

Using this knowledge, we can then say,

 

4/100 = 40/1000

3/10 = 300/1000

850/1000 = 85/100

Looking at the fraction below, which value represents it converted into hundredths?

 

450 ⁄1000 = ?

450/100

4.5/100

45/100

45/10

Looking at the fraction below, which fraction represents it converted into hundredths?

 

6/10

 

60/100

6/100

6/1000

60/1000

Look at the fraction below, which value best represents the value converted into thousandths?

 

90/100

 

 

900/1000

90/100

9/1000

99/1000

The questions will begin to get a little trickier now.

 

Looking at the fraction below, can you convert it to thousandths?

 

99/100

Let's try another one.

 

Look at the fraction below, can you convert it to hundredths?

 

750 ⁄1000

 

Below there are a selection of fractions.

 

Can you match each fraction with its equivalent partner?

 

Remember 'equivalent' means 'equal'.

Column A

Column B

67/1000
98/100
7/10
670/1000
980/1000
2/10
200/1000
700/1000

Below there are a selection of fractions.

 

Again, can you match each fraction with its equivalent partner?

 

Column A

Column B

89/100
900/1000
9/10
7/10
180/1000
890/1000
700/1000
18/100

Now, let's convert fractions so we can compare.

 

Look at each fraction below.

 

Select the smaller fraction.

 

7/10

76/100

Look carefully at the pairs of converted fractions below.

 

One of the pairs is incorrect, can you identify which pair?

6/10 = 60/1000

82/100 = 820/10000

74/100 = 740/1000

990/1000 = 99/100

Let's try that challenge again, look carefully at the pairs of converted fractions below.

 

One of the pairs is incorrect, can you identify which pair?

1/10 = 1/1000

70/100 = 7/10

880/1000 = 88/100

5/10 = 500/10000

  • Question 1

Looking at the fraction below, which value represents it converted into hundredths?

 

450 ⁄1000 = ?

CORRECT ANSWER
45/100
EDDIE SAYS
How did you find this first conversion? 450/1000 = 45/100 Remember that 10 thousandths = 1 hundredth.
  • Question 2

Looking at the fraction below, which fraction represents it converted into hundredths?

 

6/10

 

CORRECT ANSWER
60/100
EDDIE SAYS
This time we had to convert tenths into hundredths. 6/10 = 60/100 Conversely, that 1 tenth = 10 hundredths.
  • Question 3

Look at the fraction below, which value best represents the value converted into thousandths?

 

90/100

 

 

CORRECT ANSWER
900/1000
EDDIE SAYS
How did you get on converting hundredths to thousandths? 90/100 = 900/1000 You're getting good at this!
  • Question 4

The questions will begin to get a little trickier now.

 

Looking at the fraction below, can you convert it to thousandths?

 

99/100

CORRECT ANSWER
990/1000
EDDIE SAYS
99/100 = 990/1000 We know this because there are 10 thousandths in 1 hundredth. As you had to times the denominator by 10 to make it 1000, you also had to do the same with the numerator.
  • Question 5

Let's try another one.

 

Look at the fraction below, can you convert it to hundredths?

 

750 ⁄1000

 

CORRECT ANSWER
75/100
EDDIE SAYS
750/1000 = 75/100 We know this because there are 10 thousandths in 1 hundredth. As you had to divide the denominator by 10 to get 100, you have to do the same with the numerator.
  • Question 6

Below there are a selection of fractions.

 

Can you match each fraction with its equivalent partner?

 

Remember 'equivalent' means 'equal'.

CORRECT ANSWER

Column A

Column B

67/1000
670/1000
7/10
700/1000
980/1000
98/100
200/1000
2/10
EDDIE SAYS
There was a lot to think about with this one! The matching pairs are: 67/100 = 670/1000 7/10 = 700/1000 980/1000 = 98/1000 200/1000 = 2/10 Special well done if you got all of these correct, no worries if you didn't.
  • Question 7

Below there are a selection of fractions.

 

Again, can you match each fraction with its equivalent partner?

 

CORRECT ANSWER

Column A

Column B

89/100
890/1000
9/10
900/1000
180/1000
18/100
700/1000
7/10
EDDIE SAYS
How did you get on this time matching the fractions? The matching pairs are: 89/100 = 890/1000 9/10 = 900/1000 180/1000 = 18/1000 700/1000 = 7/10
  • Question 8

Now, let's convert fractions so we can compare.

 

Look at each fraction below.

 

Select the smaller fraction.

 

CORRECT ANSWER
7/10
EDDIE SAYS
The smaller fraction is 7/10. It is easier to compare if we convert 7/10 to hundredths. 7/10 = 70/100 Therefore, 7/10 is smaller than 76/100.
  • Question 9

Look carefully at the pairs of converted fractions below.

 

One of the pairs is incorrect, can you identify which pair?

CORRECT ANSWER
6/10 = 60/1000
EDDIE SAYS
Did you spot it? The incorrect pair is: 6/10 = 60/1000 6/10 should be represented as 600/1000! You're a pro at these by this point. One more question to go.
  • Question 10

Let's try that challenge again, look carefully at the pairs of converted fractions below.

 

One of the pairs is incorrect, can you identify which pair?

CORRECT ANSWER
1/10 = 1/1000
EDDIE SAYS
Did you spot it? The incorrect pair is: 1 ⁄ 10 = 1/1000 1/10 should be written as 10/1000 Practice makes perfect! That’s another activity ticked off!
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