Equivalent Ratios: Methods With Examples
Concept
The order of the values in a ratio relates directly to the order of the quantities described. Write the missing number to complete the equivalent ratios.
Rules
The order of the values in a ratio relates directly to the order of the quantities described.
To find an equivalent ratio, multiply or divide both quantities by the same number.
To determine whether two ratios are equivalent, write them as simplified fractions. If the fractions are equal, the ratios are equivalent.
Example
What number should come in the blank to make the ratio 4: ____ equivalent to 1:12
Solution
To find an equivalent ratio, multiply or divide both quantities by the same number.
4 : 48 = 1 : 12
Practice Equivalent Ratios
Practice Problem 1
Complete the ratio below to make it equivalent to 36:42 .
Practice Problem 2
Select all ratios which are equivalent to 24:48 .
Practice Problem 3
Select the ratio of triangles to stars.
Practice Problem 4
Complete the table so that a and b are always in the same ratio.
Ratio – a comparison of two quantities by division. Ratios describe a part-to-part comparison or a part-to-whole comparison.
Equivalent ratios – Two ratios that have the same value.
Ratio tables show pairs of corresponding values, with an equivalent ratio between each pair.
Pre-requisite Skills
Understand Ratios
Ratios and Fractions
Related Skills
Identify proportional relationships
Solving Proportions
Ratio Applications
Unit Rate Applications
Proportional Relationships Application
Unit Rate
Dimensional Analysis
Identifying Proportional Relationships Using a Table
Solving Proportions
Constant Rate of Change
Slope
Direct Variation
Slope and Similar Triangles
Changes in Dimensions