Simplifying Ratios (Word Problems): Worksheets, Online Test and Calculators

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)
Name Grade School
Date Questions10 Score

1
Eric’s monthly income is $1250 and him savings is $375. Find savings to expenses ratio.
2
Out of 132 students in a class, 24 are boys. Find boys to girls ratio.
3
Length and breadth of a rectangular field are 48 feet and 12 feet respectively. Find the ratio of length to breadth of the field.
4
Out of 135 students in a class, 45 prefer football, 81 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 1010 students. Find number of teachers to number of students ratio.
6
In a city of 19300 people, 5500 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
7
Josie’s monthly income is $1120 and her savings is $400. Find savings to expenses ratio.
8
Out of 260 students in a class, 80 are boys. Find boys to girls ratio.
9
Length and breadth of a rectangular field are 140 feet and 50 feet respectively. Find the ratio of length to breadth of the field.
10
Out of 144 students in a class, 40 prefer football, 72 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
Show All Workout
1
Eric’s monthly income is $1250 and him savings is $375. Find savings to expenses ratio.
Savings to expenses ratio is 3:7
Solution
Eric's Income = $1250
Savings = $375
Expenses = 1250 - 375 = 875
∴ savings to expenses ratio = 375:875 = 3:7
2
Out of 132 students in a class, 24 are boys. Find boys to girls ratio.
Boys to girls ratio is 2:9
Solution
Total Number of students = 132
boys = 24
girls = 132 - 24 = 108
∴ Boys to girls ratio = 24:108 = 2:9
3
Length and breadth of a rectangular field are 48 feet and 12 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 4:1
Solution
Length of a rectangular field = 48
breadth of a rectangular field = 12
∴ Length to breadth ratio = 48:12 = 4:1
4
Out of 135 students in a class, 45 prefer football, 81 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 5:1
Solution
Total Number of students = 135
Number of students prefer football = 45
Number of students prefer baseball = 81
Number of students prefer tennis =135 - (45 + 81) = 9
∴ Number of students who prefer football to number of students who prefer tennis ratio = 45:9 = 5:1
5
There are 80 teachers in a school of 1010 students. Find number of teachers to number of students ratio.
number of teachers to number of students ratio is 8:101
Solution
Total Number of teachers = 80
Total Number of students = 1010
∴ Number of teachers to number of students ratio = 80:1010 = 8:101
6
In a city of 19300 people, 5500 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
Government employees to self-employed ratio is 55:138
Solution
Number of people in the city = $19300
Number of Government employees = $5500
Self employed = 19300 - 5500 = 13800
∴ Government employees to self-employed ratio = 5500:13800 = 55:138
7
Josie’s monthly income is $1120 and her savings is $400. Find savings to expenses ratio.
Savings to expenses ratio is 5:9
Solution
Josie's Income = $1120
Savings = $400
Expenses = 1120 - 400 = 720
∴ savings to expenses ratio = 400:720 = 5:9
8
Out of 260 students in a class, 80 are boys. Find boys to girls ratio.
Boys to girls ratio is 4:9
Solution
Total Number of students = 260
boys = 80
girls = 260 - 80 = 180
∴ Boys to girls ratio = 80:180 = 4:9
9
Length and breadth of a rectangular field are 140 feet and 50 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 = 140
breadth of a rectangular field = 50
∴ Length to breadth ratio = 140:50 = 14:5
10
Out of 144 students in a class, 40 prefer football, 72 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 5:4
Solution
Total Number of students = 144
Number of students prefer football = 40
Number of students prefer baseball = 72
Number of students prefer tennis =144 - (40 + 72) = 32
∴ Number of students who prefer football to number of students who prefer tennis ratio = 40:32 = 5:4

Worksheet: Simplifying Ratios (Word Problems)

Simplifying ratios (word problems) worksheet is the largest collection of practice problems and solved exercises which can be served as homework, classwork or assignment problems for the students to learn, practice, assess, iterate and master the skills of how to solve such ratio and proportion problems in basic mathematics.

Online Test
00:00
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.
Length and breadth of a rectangular field are 72 feet and 24 feet respectively. Find the ratio of length to breadth of the field.
Out of 135 students in a class, 27 prefer football, 81 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.
There are 140 teachers in a school of 2120 students. Find the number of teachers to number of students ratio.
In a city of 6100 people, 3620 are government employees and the remaining are self-employed. Find the government employees to self-employed 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.
Length and breadth of a rectangular field are 234 feet and 90 feet respectively. Find the ratio of length to breadth of the field.
Out of 91 students in a class, 7 prefer football, 63 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Online Test: Simplifying Ratios (Word Problems)

This online test to find the simplifying ratios (word problems) is a formative assessment which can be used as homework, classwork or assignment problems to assess and improve the learner's math skills on ratio and proportion.

Ratio Calculator

Simplify the Ratio
Simplified Ratio
1 : 3 : 4
show workout

Work with steps - Simplify the Ratio

Question:
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

Ratio calculator is a key tool for users to generate step-by-step work to quickly understand the calculation, solve the homework problems, solve the classwork problems, prepare the answer key document for summative and formative assessments or immediately verify the entire calculation for the user supplied input values.