In previous grades, you used different models and procedures to generate equivalent fractions.

Equivalent fractions are related in that they represent the same part of the same whole, but the numerators and denominators are different. Equivalent fractions are related by a scale factor that can be multiplied by the numerator and denominator.

equivalent fractions with a scale factor of three

You can also have an improper fraction and a mixed number that are equivalent. For example, if Mary has 32 over 5 2 5 yards of fishing line, she also has 1 over 2 17 5 yards of fishing line.

a mixed number and its equivalent improper fraction

In this lesson, you will investigate other ways to write equivalent forms of rational numbers, including fractions, decimals, and percents.