Learning Resources for Simplifying Ratios (Word Problems)

Learning resources for Simplifying Ratios (Word Problems) such as questions and answers, worksheets, quizzes, online tests, calculator, examples, step by step answers, practice problems, challenges to explore, learn, practice, solve homework problems, solve assignments and assess the learning objectives.

In Read & Write the Simplified Ratio for the Following

Name Grade School
Date Questions10 Score

1
Jonathan’s monthly income is $1260 and him savings is $525. Find savings to expenses ratio.
2
Out of 240 students in a class, 60 are boys. Find boys to girls ratio.
3
Length and breadth of a rectangular field are 120 feet and 40 feet respectively. Find the ratio of length to breadth of the field.
4
Out of 126 students in a class, 30 prefer football, 54 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 60 teachers in a school of 1490 students. Find number of teachers to number of students ratio.
6
In a city of 6700 people, 2420 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
7
Josie’s monthly income is $630 and her savings is $140. Find savings to expenses ratio.
8
Out of 132 students in a class, 48 are boys. Find boys to girls ratio.
9
Length and breadth of a rectangular field are 220 feet and 60 feet respectively. Find the ratio of length to breadth of the field.
10
Out of 153 students in a class, 36 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.

Answers Key
Show All Workout
1
Jonathan’s monthly income is $1260 and him savings is $525. Find savings to expenses ratio.
Savings to expenses ratio is 5:7
Solution
Jonathan's Income = $1260
Savings = $525
Expenses = 1260 - 525 = 735
∴ savings to expenses ratio = 525:735 = 5:7
2
Out of 240 students in a class, 60 are boys. Find boys to girls ratio.
Boys to girls ratio is 1:3
Solution
Total Number of students = 240
boys = 60
girls = 240 - 60 = 180
∴ Boys to girls ratio = 60:180 = 1:3
3
Length and breadth of a rectangular field are 120 feet and 40 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 3:1
Solution
Length of a rectangular field = 120
breadth of a rectangular field = 40
∴ Length to breadth ratio = 120:40 = 3:1
4
Out of 126 students in a class, 30 prefer football, 54 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 5:7
Solution
Total Number of students = 126
Number of students prefer football = 30
Number of students prefer baseball = 54
Number of students prefer tennis =126 - (30 + 54) = 42
∴ Number of students who prefer football to number of students who prefer tennis ratio = 30:42 = 5:7
5
There are 60 teachers in a school of 1490 students. Find number of teachers to number of students ratio.
number of teachers to number of students ratio is 6:149
Solution
Total Number of teachers = 60
Total Number of students = 1490
∴ Number of teachers to number of students ratio = 60:1490 = 6:149
6
In a city of 6700 people, 2420 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
Government employees to self-employed ratio is 121:214
Solution
Number of people in the city = $6700
Number of Government employees = $2420
Self employed = 6700 - 2420 = 4280
∴ Government employees to self-employed ratio = 2420:4280 = 121:214
7
Josie’s monthly income is $630 and her savings is $140. Find savings to expenses ratio.
Savings to expenses ratio is 2:7
Solution
Josie's Income = $630
Savings = $140
Expenses = 630 - 140 = 490
∴ savings to expenses ratio = 140:490 = 2:7
8
Out of 132 students in a class, 48 are boys. Find boys to girls ratio.
Boys to girls ratio is 4:7
Solution
Total Number of students = 132
boys = 48
girls = 132 - 48 = 84
∴ Boys to girls ratio = 48:84 = 4:7
9
Length and breadth of a rectangular field are 220 feet and 60 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 = 220
breadth of a rectangular field = 60
∴ Length to breadth ratio = 220:60 = 11:3
10
Out of 153 students in a class, 36 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.
Number of students who prefer football to number of students who prefer tennis ratio is 2:3
Solution
Total Number of students = 153
Number of students prefer football = 36
Number of students prefer baseball = 63
Number of students prefer tennis =153 - (36 + 63) = 54
∴ Number of students who prefer football to number of students who prefer tennis ratio = 36:54 = 2:3

Worksheets for Simplifying Ratios (Word Problems)

The worksheet for solving simplifying ratios (word problems) is the largest collection of algorithmically generated questions and answers or practice problems to learn, practice and improve your math problem solving skills. These problems can be served as homework or classwork problems in home or classroom to learn, practice, assess, iterate and master your math skills on how to solve simplifying ratios (word problems).

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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.

Quizzes for Simplifying Ratios (Word Problems)

The quizzes for simplifying ratios (word problems) is a kind of online test or formative assessment to iterate the learner’s math skills. Teachers, parents and students may use this formative assessment to assess the learning outcomes on simplifying ratios (word problems)in the classrooms and homes.

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

Ratio Calculator is a key tool for teachers, parents and students 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.