equivalent ratios


Definition of Equivalent Ratios

  • If two ratios have the same value when simplified, then they are called Equivalent Ratios.

More about Equivalent Ratios

  • Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.

Examples of Equivalent Ratios

  • andare equivalent ratios since they represent the same fraction.
  • The two ratios 8 : 24 and 4 : 12 are equivalent.
  • There are 10 dolls for every 40 children in a preschool. Then the ratio of the number of children to that of the dolls = 40:10=4:1.

Solved Example on Equivalent Ratios

A carnival game has 3 winners for every 7 losers. Find two ratios equal to the ratio of winners to losers.
Choices:
A.,
B.,
C.,
D.,
Correct Answer: D
Solution:

Step 1: The ratio of winners to losers =
Step 2: = = [Multiply both the numerator and the denominator by 2.]
Step 3: = = [Multiply both the numerator and the denominator by 3.]
Step 4: The two ratios equal to the ratio of winners to the losers are and .

Related Terms for Equivalent Ratios

  • Equal Fraction
  • Equal Value