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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 = 8 4

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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) We can choose any number to multiply by. Let’s multiply by 2. 3 x 2 6 So, 3/5 is equivalent to 6/10. = 5 x 2 10

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If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor. 4 28 ÷ 7 In this example, we can divide both numbers by 7. = ÷ 7 5 35 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 2 3 8 5 11

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

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