 # Convert Fractions

In this worksheet, students will be asked to convert fractions using either tenths, hundredths or thousandths as the denominator. Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:   ### 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 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 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 = ?

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

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

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

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

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'.

## 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?

## 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.

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?

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?

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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