EQUIVALENT FRACTIONS AND DECIMALS WORKSHEET

1. Look at the number line given below and write the missing decimals and fractions.

2. Find the decimal equivalent to the fraction given below.

3/20

3. Find the decimal equivalent to the fraction given below.

7/10

4. Find the fraction equivalent to the decimal given below.

0.85

5. Find the fraction equivalent to the decimal given below.

0.305

6. Find the decimal equivalent to the fraction given below.

3/8

7. Find the decimal equivalent to the fraction given below.

13/8

8. Of 500 people, 100 wear glasses. Write the number of people who do not wear glasses as a fraction of the total number of people.

9. Over 20 days in February, it rained on 12 days. What fraction of the days were rainy? Simplify your answer

10. Write down 3 different fractions that are equivalent to 3/5

11. There are 400 pupils in a primary school. Of the 400 pupils, 88 play a musical instrument. Express the number of pupils who play a musical instrument as a fraction of the 400 pupils.

12. Express 50p as a fraction of £4 Give your answer in its simplest form.

13. In a bag there are 80 beads. There are 35 yellow beads. There are 17 red beads. The rest of the beads are white. Work out what fraction of the beads are white. Give your answer in its simplest form.

14. Last year the cost of a table was £180 This year the cost of the same table is £210 Write down the increase in cost as a fraction of last year’s cost.

15. Four students attempt a puzzle. Their times taken are shown below.

Work out shortest time taken / longest time taken Give your answer in its simplest form.

1. Answer :

2. Answer : 

In the given fraction, the denominator is 20 which can be converted  to 100 using multiplication by 5.

3/20 = (3 x 5)/(20 x 5)

= 15/100

= 0.15

3. Answer : 

In the given fraction, the denominator is 10.

7/10 = 0.7 

4. Answer : 

In the given decimal, there are two digits after the decimal.

So, we can write the given decimal as a fraction with denominator 100. 

0.85 = 85/100

= 17/20

5. Answer : 

In the given decimal, there are three digits after the decimal.

So, we can write the given decimal as fraction with denominator 1000. 

0.305 = 305/1000

= 61/200

6.Answer : 

In the given fraction, the denominator is 8 which can not converted to 10 or 100 or 1000.

So, we can use long division to convert the fraction 3/8 to decimal. 

7.Answer : 

8.Answer : 

Total number of people = 500

Number of people wear glasses = 100

Number of people who donot wear glasses = 500 - 100

= 400

Percentage of people who do not wear glasses

= (400 / 500) x 100%

= (4/5) x 100%

= 4 x 20%

= 80%

9.Answer : 

Total number of days = 20

Number of days rained = 12

Fraction of days were rainy = 12/20

Doing the simplification, we get 

= 3/5

10.Answer : 

To get the equivalent fraction, we have to multiply both numerator and denominator by the same number.

3/5 = (3/5) x (2/2)

= 6/10

3/5 = (3/5) x (3/3)

= 9/15

3/5 = (3/5) x (4/4)

= 12/20

So, the three equivalent fractions are 6/10, 9/15 and 12/20.

11.Answer : 

Total number of people = 400

Number of people who play musical instrument = 88

Fraction of people who play musical instrument = 88/400

After simplification, we get

= 11/50

12.Answer :

1 pound = 100 pence

4 pounds = 400 pence

50 p as fraction of £4 = 50/400

= 1/20

13.Answer :

Total number of beads = 80

Number of yellow beads = 35

Number of red beads = 17

Number of white beads = 80 - (35 + 17)

= 80 - 52

= 28

Fraction part of white marbles = 28/80

= 7/20

14.Answer :

Cost of table last year = £180

Cost  of table this year = £210

Increase = 210 - 180

= 30

increase as fraction, we get = 30/180

= 1/6

15.Answer :

Time taken by Abigail = 17.5 minutes

Time taken by Dave = 1/4 hour

1 hour = 60 minutes

1/4 hour = 60/4

= 15 minutes

Time taken by Nia = 850 seconds

= 850/60 seconds

= 85/6 minutes

= 14.16 minutes

Time taken by Patrick = 16 minutes

• Longest time taken by Abigail
• Shortest time taken by Dave

= 17.5/15

= 175/150

= 35/30

= 7/6

= 1  1/6

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.