SIMPLIFYING RATIOS WORKSHEET

Express as a ratio in simplest form :

Problem 1 :

3 : 6

Solution

Problem 2 :

3/4 : 1/4

Solution

Problem 3 :

0.5 : 0.2

Solution

Problem 4 :

18 : 24

Solution

Problem 5 :

2 1/2 : 1 1/2

Solution

Problem 6 :

1.5 : 0.3

Solution

Problem 7 :

20 c to $1.20

Solution

Problem 8 :

2 L to 500 ml

Solution

Problem 9 :

a) The length of the smaller one is 30 cm. The ratio of the smaller to the larger is 1:2. How long is the larger one?

b) The larger flag is 40 cm high. How high is the smaller flag?

Solution

Problem 10 :

Two friends buy a lottery ticket. One of them pays $4 towards the ticket while the other one pays $5 towards the ticket. They agree to split any winnings in the same ratio. If they win $8532 how much does each of them get?

Solution

Problem 11 :

The ratio of girls to boys in a school is 6 : 7 and there are 448 boys. How many students are there in the school?

Solution

Problem 12 :

An amount of hay was shared between two farmers who got 420 kg and 700 kg

(i) What was the total amount of hay shared? 

(ii) In what ratio was the hay divided amongst the two farmers?

Solution

Simplify

Problem 1 :

1 2/3 : 1 1/3

Solution

Problem 2 :

 1/3 : 1/2

Solution

Problem 3 :

 2 1/2 : 1 1/3

Solution

Problem 4 :

3 1/4 : 2/3

Solution

Problem 5 :

1 2/3 : 1 3/10

Solution

Express as a ratio in simplest form :

Problem 6 :

0.5 : 0.3

Solution

Problem 7 :

0.2 : 0.8

Solution

Problem 8 :

0.6 : 1.5

Solution

Problem 9 :

0.35 : 0.49

Solution

Problem 10 :

At a football match the ratio of female supporter to male supporters is 16 : 2. Write this ratio in simplest form.

Solution

Problem 11 :

To make purple paint red and blue paint are mixed in the ratio 0.6 : 1.4. Write this ratio in simplest form.

Solution

Problem 12 :

Which is the best buy: 50g of cheese for $24 or 70g of cheese for $35?

Solution

Problem 13 :

Caviar was 22 g for $105 at one store and 10 g for $55 at another store. Convert both of these to a cost per 100g to the nearest cent to find the best buy.

Solution

Simplify each of the following ratios.

Problem 1 :

12 to 48

Solution

Problem 2 :

81 : 27

Solution

Problem 3 :

4 to 24 to 64

Solution

Problem 4 :

21 : 42 : 14

Solution

Set up a ratio for each of the following and reduce to lowest terms. Eliminate decimals and fractions by using equivalent ratios

Problem 5 :

13 dimes to 8 nickels

Solution

Problem 6 :

10 days to 4 weeks

Solution

Problem 7 :

1.25 to 8

Solution

Problem 8 :

0.8 to 2.3 to 4.1

Solution

Problem 9 :

1/2 to 3/5

Solution

Problem 10 :

5/8 to 3/4 to 4/3

Solution

Problem 11 :

2  2/3 to 3  1/5

Solution

Problem 12 :

There are 60 red and blue balls in a ball pit. 21 of them are blue.  What fraction of the balls are red?

Represent this as a simplified fraction.

Solution

Problem 13 :

Nancy and Lisa played 20 sets of tennis. Nancy won 12 of them. Write the ratio of Nancy’s wins to the total number of sets in simplest form.

Solution

Problem 14 :

The ratio of sand, gravel and cement for concrete is 1 : 2 : 4. If 24 kg of gravel are used, how much concrete will be produced?

Solution

Problem 15 :

Harry and Sally purchased a bag containing 36 cookies. They decide to share them based on how much each contributed to their purchase. If Harry paid 3 times as much money as Sally did for this purchase, how many cookies does he keep?

Solution