Write Fractions and Decimals

In this worksheet, students will be asked to relate fractions to 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 is 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

Trickier questions:

To convert a fraction to a decimal, we divide the numerator by the denominator.

1 ⁄2 = 1 ÷ 2 = 0.5

Sometimes it helps to use a calculator.

1 ⁄4 = 0.25

1 ⁄3 = 0.3

1 ⁄6 = 0.16

1 ⁄8 = 0.125

1⁄10 = 0.1

1 ⁄5 = 0.2

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

Column B

0.2
28/100
0.28
1/5
3.24
1/3
0.3
3 + 24/100

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

Column B

6 + 67/100
6.67
9 + 9/100
9.09
1/8
0.2
1/5
0.125

What is the fraction below, written in decimal form?

4 ⁄10

Change this fraction to a decimal fraction.

7/100

Look at the decimal fraction below:

0.25

It can be written as a fraction as 25/100

Can you choose the other equivalent fraction for 0.25 below?

1/4

1/3

1/25

1/8

Which value is smaller?

0.4 or 2 ⁄3?

0.4

2/3

Order the fractions and decimal fractions below, starting with the lowest value working up to the greatest. (We call this ascending order.)

Column B

1st
0.04
2nd
0.4
3rd
2/3
4th
2/10

Order the decimal fractions and fractions, starting with the highest number (we call this is descending order).

Column B

1st
0.25
2nd
1/5
3rd
6/7
4th
0.35

Look at the decimal fractions with their fraction equivalents below.

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

0.001 = 1/100

0.2 = 2/100

0.78 = 78/100

1 = 100/100

Look at the decimal fractions with their fraction equivalent below.

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

3/7 = 0.43

3/8 = 0.475

3/8 = 0.475

0.02 = 2/100

• Question 1

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

Column B

0.2
1/5
0.28
28/100
3.24
3 + 24/100
0.3
1/3
EDDIE SAYS
How did you get on? The matching pairs are: 0.2 = 1/5 0.28 = 2/100 3.24 = 3 + 24/100 0.3 = 1/3
• Question 2

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

Column B

6 + 67/100
6.67
9 + 9/100
9.09
1/8
0.125
1/5
0.2
EDDIE SAYS
How did you get on? The matching pairs are: 6 + 67/100 = 6.67 9 + 9 /100 = 9.09 1/8 = 0.125 1/5 = 0.2
• Question 3

What is the fraction below, written in decimal form?

4 ⁄10

0.4
EDDIE SAYS
4/10 as a decimal fraction is written as 0.4 It is less than one whole. It is also close to one half, one more tenth would make one half.
• Question 4

Change this fraction to a decimal fraction.

7/100

0.07
EDDIE SAYS
7/100 as a decimal fraction is 0.07. 7 hundredths is a very small part of one whole. We would need 93 more hundredths to make one whole.
• Question 5

Look at the decimal fraction below:

0.25

It can be written as a fraction as 25/100

Can you choose the other equivalent fraction for 0.25 below?

1/4
EDDIE SAYS
0.25 can be represented by both 25/100 and 1/4. Is this starting to make sense?
• Question 6

Which value is smaller?

0.4 or 2 ⁄3?

0.4
EDDIE SAYS
0.4 is smaller than 2/3. If we convert 2/3 to a decimal fraction, it becomes 0.6, which is larger than 0.4.
• Question 7

Order the fractions and decimal fractions below, starting with the lowest value working up to the greatest. (We call this ascending order.)

Column B

1st
0.04
2nd
2/10
3rd
0.4
4th
2/3
EDDIE SAYS
It helps to convert all values into either its equivalent fraction or decimal fraction, as then you can easily compare each number. Look carefully at each digit in the number in order to correctly place each value in ascending order. 1st = 0.04 2nd = 2/10 3rd = 0.4 4th = 2/3
• Question 8

Order the decimal fractions and fractions, starting with the highest number (we call this is descending order).

Column B

1st
6/7
2nd
0.35
3rd
0.25
4th
1/5
EDDIE SAYS
Again, we had to look carefully at each digit in the number in order to correctly place the values in descending order. 1st = 6/7 2nd = 0.35 3rd = 0.25 4th = 1/5
• Question 9

Look at the decimal fractions with their fraction equivalents below.

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

0.001 = 1/100
EDDIE SAYS
Did you spot the mistake? 0.001 = 1/100 is incorrect. 0.001 = 1/1000 Written in words, 0.001 is 1 thousandth. It can get complicated right? You have to take your time reading each question.
• Question 10

Look at the decimal fractions with their fraction equivalent below.

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

3/8 = 0.475
EDDIE SAYS
Did you spot the mistake? 3/8 = 0.475 is incorrect. 3/8 = 0.375 Remember, in order to convert a tricky fraction into a decimal, we divide the numerator by the denominator! Great focus throughout, that's another activity ticked off!
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