Simplifying ratios (word problems) worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of **ratio and proportion**.

Simplifying Ratios (Word Problems)

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1

Aaron’s monthly income is $1000 and him savings is $300. Find savings to expenses ratio.

2

Out of 120 students in a class, 36 are boys. Find boys to girls ratio.

3

Length and breadth of a rectangular field are 44 feet and 12 feet respectively. Find the ratio of length to breadth of the field.

4

Out of 75 students in a class, 5 prefer football, 30 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

5

There are 80 teachers in a school of 1810 students. Find number of teachers to number of students ratio.

6

In a city of 12240 people, 6000 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

7

Samuel’s monthly income is $845 and him savings is $260. Find savings to expenses ratio.

8

Out of 96 students in a class, 24 are boys. Find boys to girls ratio.

9

Length and breadth of a rectangular field are 56 feet and 20 feet respectively. Find the ratio of length to breadth of the field.

10

Out of 30 students in a class, 8 prefer football, 16 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Solved Worksheet Problems

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1

Aaron’s monthly income is $1000 and him savings is $300. Find savings to expenses ratio.

Savings to expenses ratio is 3:7

Solution

Aaron's Income = $1000

Savings = $300

Expenses = 1000 - 300 = 700

∴ savings to expenses ratio = 300:700 = 3:7

Savings = $300

Expenses = 1000 - 300 = 700

∴ savings to expenses ratio = 300:700 = 3:7

2

Out of 120 students in a class, 36 are boys. Find boys to girls ratio.

Boys to girls ratio is 3:7

Solution

Total Number of students = 120

boys = 36

girls = 120 - 36 = 84

∴ Boys to girls ratio = 36:84 = 3:7

boys = 36

girls = 120 - 36 = 84

∴ Boys to girls ratio = 36:84 = 3:7

3

Length and breadth of a rectangular field are 44 feet and 12 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 11:3

Solution

Length of a rectangular field = 44

breadth of a rectangular field = 12

∴ Length to breadth ratio = 44:12 = 11:3

breadth of a rectangular field = 12

∴ Length to breadth ratio = 44:12 = 11:3

4

Out of 75 students in a class, 5 prefer football, 30 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Number of students who prefer football to number of students who prefer tennis ratio is 1:8

Solution

Total Number of students = 75

Number of students prefer football = 5

Number of students prefer baseball = 30

Number of students prefer tennis =75 - (5 + 30) = 40

∴ Number of students who prefer football to number of students who prefer tennis ratio = 5:40 = 1:8

Number of students prefer football = 5

Number of students prefer baseball = 30

Number of students prefer tennis =75 - (5 + 30) = 40

∴ Number of students who prefer football to number of students who prefer tennis ratio = 5:40 = 1:8

5

There are 80 teachers in a school of 1810 students. Find number of teachers to number of students ratio.

number of teachers to number of students ratio is 8:181

Solution

Total Number of teachers = 80

Total Number of students = 1810

∴ Number of teachers to number of students ratio = 80:1810 = 8:181

Total Number of students = 1810

∴ Number of teachers to number of students ratio = 80:1810 = 8:181

6

In a city of 12240 people, 6000 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.

Government employees to self-employed ratio is 25:26

Solution

Number of people in the city = $12240

Number of Government employees = $6000

Self employed = 12240 - 6000 = 6240

∴ Government employees to self-employed ratio = 6000:6240 = 25:26

Number of Government employees = $6000

Self employed = 12240 - 6000 = 6240

∴ Government employees to self-employed ratio = 6000:6240 = 25:26

7

Samuel’s monthly income is $845 and him savings is $260. Find savings to expenses ratio.

Savings to expenses ratio is 4:9

Solution

Samuel's Income = $845

Savings = $260

Expenses = 845 - 260 = 585

∴ savings to expenses ratio = 260:585 = 4:9

Savings = $260

Expenses = 845 - 260 = 585

∴ savings to expenses ratio = 260:585 = 4:9

8

Out of 96 students in a class, 24 are boys. Find boys to girls ratio.

Boys to girls ratio is 1:3

Solution

Total Number of students = 96

boys = 24

girls = 96 - 24 = 72

∴ Boys to girls ratio = 24:72 = 1:3

boys = 24

girls = 96 - 24 = 72

∴ Boys to girls ratio = 24:72 = 1:3

9

Length and breadth of a rectangular field are 56 feet and 20 feet respectively. Find the ratio of length to breadth of the field.

Length to breadth ratio is 14:5

Solution

Length of a rectangular field = 56

breadth of a rectangular field = 20

∴ Length to breadth ratio = 56:20 = 14:5

breadth of a rectangular field = 20

∴ Length to breadth ratio = 56:20 = 14:5

10

Out of 30 students in a class, 8 prefer football, 16 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Number of students who prefer football to number of students who prefer tennis ratio is 4:3

Solution

Total Number of students = 30

Number of students prefer football = 8

Number of students prefer baseball = 16

Number of students prefer tennis =30 - (8 + 16) = 6

∴ Number of students who prefer football to number of students who prefer tennis ratio = 8:6 = 4:3

Number of students prefer football = 8

Number of students prefer baseball = 16

Number of students prefer tennis =30 - (8 + 16) = 6

∴ Number of students who prefer football to number of students who prefer tennis ratio = 8:6 = 4:3

Online Test

Start my Challenge

Jeremy’s monthly income is $1155 and his savings is $525. Find the savings to expenses ratio.

Out of 40 students in a class, 16 are boys. Find the boys to girls ratio.

Rachel’s monthly income is $1680 and her savings is $560. Find the savings to expenses ratio.

Out of 78 students in a class, 24 are boys. Find the boys to girls ratio.

Question:

Write the ratio 2:6:8 in its reduced form.

Answer:

Write the ratio 2:6:8 in its reduced form.

Answer:

Find GCF of all values in the given ratio

GCF(2, 6, 8) = 2

Divide each number in the given ratio by GCF

2/2 = 1

6/2 = 3

8/2 = 4

2:6:8 = 1 : 3 : 4

The simplified ratio of 2:6:8 is 1 : 3 : 4

GCF(2, 6, 8) = 2

Divide each number in the given ratio by GCF

2/2 = 1

6/2 = 3

8/2 = 4

2:6:8 = 1 : 3 : 4

The simplified ratio of 2:6:8 is 1 : 3 : 4