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Equivalent Fractions Scott Foresman 7.7

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Vocabulary Equivalent fractions are fractions that name the same amount. 2 4 = 4 8

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Creating Equivalent Fractions Multiply the numerator and denominator by the same number. Divide the numerator and denominator by the same number (it has to be a common factor to work with division) 3 5 We can choose any number to multiply by. Lets multiply by 2. x 2 = 6 10 So, 3/5 is equivalent to 6/10.

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If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor. 28 35 In this example, we can divide both numbers by 7. ÷ 7÷ 7 ÷ 7÷ 7 = 4 5 28/35 is equivalent to 4/5.

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Fractions in Simplest Form Fractions are in simplest form when the numerator and denominator do not have any common factors besides 1. Examples of fractions that are in simplest form: 4 5 2 11 3 8

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Writing Fractions in Simplest Form. Find the greatest common factor (GCF) of the numerator and denominator. Divide both numbers by the GCF.

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Example: 20 28 20 1 x 20 2 x 10 4 x 5 28 1 x 28 2 x 14 4 x 7 20: 1, 2, 4, 5, 10, 20 28: 1, 2, 4, 7, 14, 28 Common Factors: 1, 2, 4 GCF: 4 We will divide by 4. ÷ 4 = 5 7 Simplest Form

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