# Write Fractions and Decimals

In this worksheet, students will be asked to relate fractions to their decimal equivalents.

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Relate Fractions to Decimals

Difficulty level:

### QUESTION 1 of 10

In this activity, you will be asked to relate fractions to decimals.

You will be asked to convert fractions to decimals:

Example:

Write the fraction as a decimal fraction:

2 + 42 ⁄100 = ?

42 hundredths are written as 0.42

You will also be asked to convert decimals to fractions:

Example:

Write the decimal fraction as a fraction

1.1 = ?

1.1  = 1 whole 1 ⁄10

So the answer is 1 + 1 ⁄10

Look at the decimal fractions below and match each to its equivalent fraction.

## Column B

0.1
22/100
0.22
3 + 2/10
3.2
6 + 7/10
6.7
1/10

Look at the fractions below and match each to its equivalent decimal fraction.

## Column B

2 + 5/10
2.5
8 + 9/10
8.9
4/10
0.67
67/100
0.4

What is the fraction below as a decimal fraction?

2/10

Change the fraction below into a decimal fraction.

95/100

How is the decimal below represented as a fraction?

0.45

45/100

54/100

100/45

What is the decimal below written as a fraction?

0.02

20/100

2/100

0.2/100

Can you order the decimal fractions below, starting with the lowest number?

## Column B

1st
1.00
2nd
0.01
3rd
0.11
4th
0.10

Can you order the fractions, starting with the lowest number?

## Column B

1st
11/100
2nd
1/100
3rd
100/100
4th
1/1000

Look at the decimal fractions with their fraction equivalent below.

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

0.2 = 2/10

0.25 = 25/100

0.35 = 35/1000

0.67 = 67/100

Look at the decimal fractions with their fraction equivalent below.

One of the pairs is incorrect, can you select the incorrect pair?

0.12 = 12/100

0.85 = 85/100

2.42 = 2 + 42/100

0.003 = 3/100

• Question 1

Look at the decimal fractions below and match each to its equivalent fraction.

## Column B

0.1
1/10
0.22
22/100
3.2
3 + 2/10
6.7
6 + 7/10
EDDIE SAYS
How did you get on? The matching pairs are: 0.1 = 1/10 0.22 = 22/100 3.2 = 3 + 2/10 6.7 = 6 + 7/10
• Question 2

Look at the fractions below and match each to its equivalent decimal fraction.

## Column B

2 + 5/10
2.5
8 + 9/10
8.9
4/10
0.4
67/100
0.67
EDDIE SAYS
How did you get on? The matching pairs are: 2 + 5/10 = 2.5 8 + 9/10 = 8.9 4 /10 = 0.4 67/100 = 0.67 You're getting better at these with each question you attempt. Let's continue...
• Question 3

What is the fraction below as a decimal fraction?

2/10

0.2
EDDIE SAYS
2/10 as a decimal fraction is 0.2. Remember, it's less than one whole.
• Question 4

Change the fraction below into a decimal fraction.

95/100

0.95
EDDIE SAYS
95/100 as a decimal fraction is 0.95. 95 hundredths are close to one whole. If we had 5 more hundredths we would have one whole.
• Question 5

How is the decimal below represented as a fraction?

0.45

45/100
EDDIE SAYS
0.45 as a fraction is the same as 45/100. 45 hundredths are close to half of a whole. If we had 5 more hundredths we would have one half, which is 50/100!
• Question 6

What is the decimal below written as a fraction?

0.02

2/100
EDDIE SAYS
0.02 written as a fraction is 2/100. 2 hundredths is a very small part of one whole. We would need an additional 98 hundredths to make 2 hundredths a whole.
• Question 7

Can you order the decimal fractions below, starting with the lowest number?

## Column B

1st
0.01
2nd
0.10
3rd
0.11
4th
1.00
EDDIE SAYS
Look carefully at each digit in the number to correctly place in ascending order. 1st = 0.01 2nd = 0.10 3rd = 0.11 4th = 1.00 This question was a challenge, so great work if you ordered all four values correctly!
• Question 8

Can you order the fractions, starting with the lowest number?

## Column B

1st
1/1000
2nd
1/100
3rd
11/100
4th
100/100
EDDIE SAYS
Again, we had to look carefully at each digit in the number to correctly place each in ascending order. 1st = 1/1000 2nd = 1/100 3rd = 11/100 4th = 100/100 Remember that the 4th number, 100/100 is the same as one whole.
• Question 9

Look at the decimal fractions with their fraction equivalent below.

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

0.35 = 35/1000
EDDIE SAYS
Did you spot the mistake? 0.35 = 35/1000 is incorrect. 0.35 = 35/100
• Question 10

Look at the decimal fractions with their fraction equivalent below.

One of the pairs is incorrect, can you select the incorrect pair?

0.003 = 3/100
EDDIE SAYS
Did you spot the mistake? 0.003 = 3/100 is incorrect. 0.003 = 3/1000 Great work, you've completed another activity! How about attempting another one so you feel super confident?
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