EXAMPLE 1

1. EXAMPLE 1 Identifying Equivalent Fractions There are 10 fish in an aquarium, and 2 of them are goldfish. The fish in the aquarium are arranged in the diagram below. What fraction of the fish in the aquarium are goldfish? SOLUTION Using the diagram, you can write two equivalent fractions:

2. Number of goldfish = Number of fish Number of groups of 2 goldfish = Number of groups of 2 fish 1 2 5 10 2 1 The fractions and are equivalent fractions because they represent the same part-to-whole relationship. 10 5 EXAMPLE 1 Identifying Equivalent Fractions

3. Write two fractions that are equivalent to 6 . 8 To find equivalent fractions, multiply or divide the numerator and denominator by the same nonzero number. Because you are multiplying or dividing by 1, the value of the fraction does not change. 6 6 3 18 = = 8 3 8 24 2 6 3 6 = = 8 2 8 4 3 18 6 andare equivalent to . ANSWER 24 8 4 EXAMPLE 2 Writing Equivalent Fractions Multiply numerator and denominator by 3. Divide numerator and denominator by 2, a common factor of 6 and 8.

4. 1 3 , ANSWER 6 18 GUIDED PRACTICE GUIDED PRACTICE GUIDED PRACTICE for Examples 1 and 2 Groceries • Two eggs in a carton of a dozen eggs are cracked. Write two equivalent fractions that represent the fraction of eggs that are cracked.

5. 1 2. 6 2 2 6 4 9 3 , , , ANSWER ANSWER ANSWER 12 3 20 18 6 30 8 3 3. 4. 18 10 30 5. 45 4 12 , ANSWER 9 27 GUIDED PRACTICE GUIDED PRACTICE GUIDED PRACTICE for Examples 1 and 2 Write two fractions that are equivalent to the given fraction.