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Fractions

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**Fractions- equal parts of a whole**

Numerator Parts/pieces you are looking for = Denominator Total number of pieces/parts 3 4 Ex) w

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**Improper Fractions & Mixed Numbers**

Improper Fractions- numerator larger than denominator 5 4 Ex) Mixed numbers- whole number and a fraction 1 3 3 1 4 w w Ex) Number of pieces left over 1 4 2 w Total number of completely colored shapes

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**Changing Mixed Numbers to Improper Fractions**

Multiply the whole number by the denominator Add that to the numerator Keep the denominator the same Write the total as the new numerator 3 + 1 4 Ex) 3 x = 13 4 x

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Try Some 2 + 1.) 5 7 2 x = 19 7 x 2.) 4 + 2 3 4 x = 14 3 x 3.) 5 + 3 8 5 x = 43 8 x

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**Changing Improper Fractions to Mixed Numbers**

Divide the numerator by the denominator The answer is the whole number The remainder is the numerator Keep the denominator the same 3 16 -15 1 3 16 5 Whole # Ex) 1 5 numerator

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Try Some 5 4 21 -20 1 5 1 4 21 4 1.) 3 18 -15 3 18 5 3 5 2.) 55 9 6 -54 1 3.) 1 9 6

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**Golden Rule of fractions**

What you do to the numerator you do the denominator and vice versa

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**Equivalent Fractions Fractions that are equal 1 = 2 5 10 2 = 7 21 6**

*think multiplication* What times 7 = 21 1 = 2 Ex) = 6 x 3

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Try Some 4 = = 16 1.) X 4 15 = = 3 x 5 2.) = 10 12 5 = 10 12 x 2 3.) 24

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**Simplifying Fractions**

To make fraction the smallest it can go *reduce, simplify and lowest terms* Divide by the common factor Hint: Start with 2, 3, 5, 7, 11 8 12 4 6 2 3 Ex) ÷ 2 ÷ 2 2 10 ÷ 2 = 1 5 Ex)

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