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Published byGwendolyn McCormick Modified over 7 years ago

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EXAMPLE 2 Identifying Equivalent Fractions Tell whether the fractions and are equivalent. 3 8 18 48 SOLUTION Write each fraction in simplest form. 3 8 is in simplest form. 18 48 = = 3 8 The fractions have the same simplest form, so they are equivalent. ANSWER

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**Writing Equivalent Fractions**

EXAMPLE 3 Writing Equivalent Fractions 4 10 Write two fractions that are equivalent to SOLUTION Multiply or divide the numerator and denominator by the same nonzero number. 4 10 4 3 = = 12 30 Multiply numerator and denominator by 3. 4 10 4 2 = = 2 5 Divide numerator and denominator by 2, a common factor of 4 and 10.

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EXAMPLE 3 Writing Equivalent Fractions 4 10 Write two fractions that are equivalent to ANSWER The fractions and are equivalent to 4 10 12 30 2 5

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GUIDED PRACTICE for Examples 2 and 3 Tell whether the fractions are equivalent. 4. 1 6 , 4 24 The fractions have the same simplest form, so they are equivalent. ANSWER

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GUIDED PRACTICE for Examples 2 and 3 Tell whether the fractions are equivalent. , 5. 3 7 10 21 The fractions are not equivalent. ANSWER

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GUIDED PRACTICE for Examples 2 and 3 Tell whether the fractions are equivalent. 6. 24 30 4 6 , The fractions are not equivalent. ANSWER

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GUIDED PRACTICE for Examples 2 and 3 Tell whether the fractions are equivalent. 7. 15 35 , 3 7 The fractions have the same simplest form, so they are equivalent. ANSWER

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GUIDED PRACTICE for Examples 2 and 3 Write two fractions that are equivalent to the given fraction. 8 16 8. ANSWER The fractions and are equivalent to 1 2 4 8 16

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GUIDED PRACTICE for Examples 2 and 3 Write two fractions that are equivalent to the given fraction. 9 15 9. The fractions and are equivalent to ANSWER 3 5 18 30 9 15

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GUIDED PRACTICE for Examples 2 and 3 Write two fractions that are equivalent to the given fraction. 10 12 10. ANSWER The fractions and are equivalent to 5 6 15 18 10 12

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GUIDED PRACTICE for Examples 2 and 3 Write two fractions that are equivalent to the given fraction. 21 24 11. ANSWER The fractions and are equivalent to 7 8 14 16 21 24

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