WORKSHEET ON RATIO IN SIMPLEST FORM

Express the following Ratios in Simplest Form

Express the following ratio in simplest form :

Problem 1 :

2 : 4

Solution

Problem 2 :

56 : 14

Solution

Problem 3 :

15 : 25

Solution

Problem 4 :

0.4 : 0.5

Solution

Problem 5 :

0.2 : 0.6

Solution

Problem 6 :

0.03 : 0.15

Solution

Problem 7 :

1/5 : 4/5

Solution

Problem 8 :

5/4 : 1/4

Solution

Problem 9 :

1/3 : 2

Solution

Problem 10 :

3 : 1/2

Solution

Problem 11 :

34 mm to 1 cm

Solution

Problem 12 :

2 m to 125 cm

Solution

Problem 13 :

 24 seconds to 1  1/2 min

Solution

Problem 14 :

2 L to 750 ml

Solution

Problem 15 :

1 week to 3 days

Solution

Problem 16 :

4 weeks to 1 year

Solution

Problem 17 :

250 g to 1 kg

Solution

Problem 18 :

1.5 kg to 125 g

Solution

Problem 19 :

3 min to 45 seconds

Solution

Find the ratio of the shaded area and the unshaded area in the following figures

Problem 20 :

Solution

Problem 21 :

Solution

Problem 22 :

Solution

Problem 23 :

Solution

Problem 24 :

There are 45 males and 60 females in a subway car. The subway car travels 2.5 miles in 5 minutes.

a. Find the ratio of males to females.

b. Find the speed of the subway car.

Solution

Write each ratio as a fraction in simplest form, using a colon, and using the word “to”.

Problem 1 :

3 sailboats to 6 motorboats

Solution

Problem 2 :

4 tulips to 9 daffodils

Solution

Problem 3 :

5 baseballs to 25 softballs

Solution

Problem 4 :

2 days out of 8 days

Solution

Problem 5 :

6 poodles out of 18 dogs

Solution

Problem 6 :

10 yellow eggs out of 12 colored eggs

Solution

Problem 7 :

12 sheets of paper out of 28

Solution

Problem 8 :

18 hours out of 24 hours

Solution

Problem 9 :

16 elms out of 20 trees

Solution

Problem 10 :

15 trumpets to 9 trombones

Solution

Problem 11 :

5 ducks to 30 geese

Solution

Problem 12 :

14 lions to 10 tigers

Solution

Problem 13 :

6 sodas out of 16 drinks

Solution

Problem 14 :

20 blue jays out of 35 birds

Solution

Problem 15 :

An office opens at 9 am and closes at 5 pm with a lunch interval of 30 minutes. What is the ratio of lunch interval to the total period in office ?

Solution

Problem 16 :

The length of a steel tape for measurements of building is 10 m and its width is 2.4 cm. Waht is the ratio of its length to width?

Solution

Problem 17 :

The number of boys and girls in a school are 1168 and 1095 respectively. Express the ratio of the number of boys to that of girls in the simplest form.

Solution

Problem 18 :

Manoj weight is 36 kg. His brother weight is 2 kg more. Find the ratio of weight of Manoj's brother to Manoj.

Solution

Problem 1 :

Bob has 12 red cards and 20 green cards. What is the ratio of Bob's red cards to this green cards ?

Solution

Problem 2 :

In a party 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks is required.

Solution

Problem 3 :

In Jack's class, 18 of the students are tall and 10 are short. In Michael's class 54 students are tall and 30 students are short. Which class has a higher ratio of tall to short students ?

Solution

Problem 4 :

The price of 3 apples at the Quick Market is $1.44. The price of 5 of the same apples at Walmart is $2.50. Which place is the better buy ?

Solution

Problem 5 :

The bakers at the Bakery can make 160 bagels in 4 hours. How many bagels can they bake in 16 hours? What is the rate per hour ?

Solution

Problem 6 :

The ratio of the boys to girls in a class is 2 : 3. If there are 18 boys in the class, how many girls  are in that class ?

Solution

Problem 7 :

The ratio of red marbles to blue marbles in the bag is 3 : 4. If there are 42 marbles in the bag, how many of the marbles are red ?

Solution

Problem 8 :

Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1 : 4. A sample of methane gas contains 92 hydrogen atoms. How many carbon atoms are in the sample? How many total atoms are in the sample?

Solution

Problem 9 :

A nutrition label shows that there are 75 milligrams of sodium in every 12 crackers. You eat 30 crackers. How much sodium do you consume?

Solution

Problem 10 :

Two whole numbers A and B satisfy the following conditions. Find A and B.

A + B = 44

A : B is equivalent to 4 : 7

Solution