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# EQUIVALENT FRACTIONS

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### EQUIVALENT FRACTIONS

1. 1. Equivalent Fractions Lesson 3-4
2. 2. VocabularyEquivalent fractions are fractions that name the sameamount. 2 = 4 4 8
3. 3. 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 x2 6 So, 3/5 is equivalent to = 10 6/10. 5 x2
4. 4. If you have larger numbers, you can make equivalentfractions using division. Divide by a common factor. 28 ÷ 7 = 4 In this example, we can divide both numbers by 7. 35 ÷ 7 5 28/35 is equivalent to 4/5.
5. 5. Fractions in Simplest FormFractions are in simplest form when the numerator anddenominator do not have any common factors besides 1.Examples of fractions that are in simplest form: 4 2 3 5 11 8
6. 6. Writing Fractions in SimplestForm.• Find the greatest common factor (GCF) of the numerator and denominator.• Divide both numbers by the GCF.
7. 7. Example: 20 ÷ 4 = 5 Simplest Form 28 ÷ 4 7 20: 1, 2, 4, 5, 10, 2020 28 28: 1, 2, 4, 7, 14, 281 x 20 1 x 28 Common Factors: 1, 2, 42 x 10 2 x 14 GCF: 44x5 4x7 We will divide by 4.
8. 8. Homework Time