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**Using the diagram, you can write two equivalent fractions:**

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:

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**Number of groups of 2 goldfish Number of groups of 2 fish = 1 5**

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

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**Write two fractions that are equivalent to 6 8 .**

EXAMPLE 2 Writing Equivalent Fractions 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 8 = 3 6 8 = 18 24 Multiply numerator and denominator by 3. 6 8 = 2 6 8 = 3 4 Divide numerator and denominator by 2, a common factor of 6 and 8. ANSWER 18 24 and are equivalent to . 3 4 6 8

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**GUIDED PRACTICE GUIDED PRACTICE GUIDED PRACTICE Groceries**

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. 1 6 ANSWER 3 18 ,

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**Write two fractions that are equivalent to the given fraction.**

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

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Fractions VI Simplifying Fractions

Fractions VI Simplifying Fractions

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