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Understand and Apply the Conversion of Fractions to Decimal Numbers 2

In this worksheet, students will be asked to practice the skill of converting decimal numbers to fractions and vice versa. They will also be asked to order and compare decimal numbers and fractions.

'Understand and Apply the Conversion of Fractions to Decimal Numbers 2' worksheet

Key stage:  KS 2

Curriculum topic:   Exam-style Questions: SATs Maths

Curriculum subtopic:   Exam-Style Questions: Decimal Conversion

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Great effort! You have decided to spend some time practising for the SATs Maths tests.

 

This activity is going to focus on practising your ability to convert between decimal numbers and fractions.

You will also be asked to compare and order decimals and fractions.

 

Fractions, decimal numbers and percentages are just three ways of saying the same thing.

1⁄2 = 0.5 = 50%

 

Fractions, decimals and percentages all represent parts of a whole.

All three of these Maths terms look quite different but don't worry, this activity is a great way for you to learn about the relationship between them.

 

How do we convert a fraction to a decimal number?

To convert a fraction to a decimal number, we divide its numerator (top number) by its denominator (bottom number).

 

The line separating a fraction has the same meaning as the ÷ sign.

 

1⁄2 = 1 ÷ 2= 0.5

3⁄4 = 3 ÷ 4 = 0.75

Remember to use the bus stop method of division to help you solve the sum.

 

Over to you now to have a go at some practice questions...good luck!

What is 2⁄5 as a decimal number?

 

0.6

0.04

0.4

0.14

What is 5⁄8 as a decimal number?

 

0.06

0.16

0.6

0.625

What is 2⁄8 as a decimal number?

 

What is 3⁄8 as a decimal number?

 

Match the pairs with their equal partner!

 

Column A

Column B

9⁄10
0.875
4⁄10
0.125
1⁄8
0.4
7⁄8
0.9

Match the pairs with their equal partner!

 

Column A

Column B

3⁄5
0.2
2⁄10
0.6
1⁄2
1.0
1⁄1
0.5

Which is bigger... 2⁄8 or 1⁄5?

 

2⁄8

1⁄5

Which is smaller... 3⁄4 or 3/5?

 

3⁄4

3⁄5

Can you place these decimals and fractions in order from smallest to biggest?

 

Column A

Column B

1st
0.45
2nd
7⁄8
3rd
0.1
4th
2⁄10

Can you place these decimals and fractions in order from biggest to smallest?

 

Column A

Column B

1st
0.52
2nd
6⁄8
3rd
9⁄10
4th
0.01
  • Question 1

What is 2⁄5 as a decimal number?

 

CORRECT ANSWER
0.4
EDDIE SAYS
That's a good start! 2⁄5 as a decimal number is 0.4 Remember, to convert a fraction to a decimal number, we divide the numerator by the denominator.
  • Question 2

What is 5⁄8 as a decimal number?

 

CORRECT ANSWER
0.625
EDDIE SAYS
How did you find this one? Remember to use the bus stop method of division to help you to divide these tricky decimal numbers...there won't be a calculator available during the test!
  • Question 3

What is 2⁄8 as a decimal number?

 

CORRECT ANSWER
0.25
EDDIE SAYS
Great job if you wrote 0.25! Again, we had to divide the numerator (top number) by the denominator (bottom number). This is super progress...keep it up!
  • Question 4

What is 3⁄8 as a decimal number?

 

CORRECT ANSWER
0.375
EDDIE SAYS
Nice work if you wrote 0.375! As this answer shows us, when we are converting a fraction to a decimal number, we can end up with a number with more than 2 decimal places, this one has 3!
  • Question 5

Match the pairs with their equal partner!

 

CORRECT ANSWER

Column A

Column B

9⁄10
0.9
4⁄10
0.4
1⁄8
0.125
7⁄8
0.875
EDDIE SAYS
Phew, that was a toughie! There was a lot to work out there! Some of these conversions, particularly the ones using tenths are easy to memorise, others need the bus stop method to help us along the way!
  • Question 6

Match the pairs with their equal partner!

 

CORRECT ANSWER

Column A

Column B

3⁄5
0.6
2⁄10
0.2
1⁄2
0.5
1⁄1
1.0
EDDIE SAYS
Keep trying until you get it right! Did you notice that 1⁄1 is the same as 1.0, which is 1 whole? You are making brilliant progress and are over halfway through this activity!
  • Question 7

Which is bigger... 2⁄8 or 1⁄5?

 

CORRECT ANSWER
2⁄8
EDDIE SAYS
Nice job if you chose 2⁄8, it is bigger than 1⁄5. When you are asked to compare fractions, it can be useful to convert them into decimal numbers so you can clearly see which is bigger. 2⁄8 = 0.25 1⁄5 = 0.2
  • Question 8

Which is smaller... 3⁄4 or 3/5?

 

CORRECT ANSWER
3⁄5
EDDIE SAYS
Great work if you chose 3⁄5! Remember to convert both to a decimal number to make it easier to compare. 3⁄4 = 0.75 3⁄5 = 0.6
  • Question 9

Can you place these decimals and fractions in order from smallest to biggest?

 

CORRECT ANSWER

Column A

Column B

1st
0.1
2nd
2⁄10
3rd
0.45
4th
7⁄8
EDDIE SAYS
How are you doing? Take your time when you are asked to order numbers and always double-check your answers! If it helps, you can always convert all of the numbers into decimals to make it much easier to compare. Great job- there is only one question left!
  • Question 10

Can you place these decimals and fractions in order from biggest to smallest?

 

CORRECT ANSWER

Column A

Column B

1st
9⁄10
2nd
6⁄8
3rd
0.52
4th
0.01
EDDIE SAYS
Did you find it easier to order from biggest to smallest? Remember to convert a fraction to a decimal, divide the numerator by the denominator. Great focus- that's another activity ticked off and you are more prepared for the SATs Maths test.
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