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Reducing Fractions

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Factor A number that is multiplied by another number to find a product. Factors of 24 are (1,2, 3, 4, 6, 8, 12, 24).

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What are the factors of 9? Factors of 9 are 1, 3 and 9. Factors of 9 are 1, 3 and 9. 1 x 9 = 9 2 3 x 3 = 9 4 5 6 7 8 9

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What are the factors of 10? Factors of 10 (1, 2, 5, 10). Factors of 10 (1, 2, 5, 10). 1 x 10 = 10 2 x 5 = 10 3 4 5 6 7 8 9 10

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What are the factors of 7? Factors of 7 (1, 7). 1 x 7 = 7 2 3 4 5 6 7

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What are the factors of 56? Factors of 56 (1, 2, 4, 7, 8, 14, 28, 56). 1 x 56 = 56 2 x 28 = 56 3 4 x 14 = 56 5 6 7 x 8 = 56 8 9 10

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Common Factor When two numbers have the same factor it is called a common factor. A common factor factor of 12 and 6 is 3.

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Name a Common Factor of 9 and 27? 1, 3, 9

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Name a Common Factor of 4 and 8? 1, 2, 4

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1, 2, 4

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Name a Common Factor of 15 and 30? 1, 3, 5, 15

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Name a Common Factor of 12 and 48? 1, 2, 3, 4, 6, 12

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Name a Common Factor of 9 and 21? 1, 3, 9,

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Name a Common Factor of 10 and 25? 1, 5, 10

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Name a Common Factor of 3 and 4? 1

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Simplest Form When the only common factor of the numerator and denominator is 1, the fraction is in simplest form. 3 4 3 4 ÷ 1 1 =

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Greatest Common Factor The greatest common factor is the largest factor between two numbers. 12 = 1, 2, 3, 4, 6, 12 18 = 1, 2, 3, 6, 9, 18

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What is the Greatest Common Factor? 8 = 1, 2, 4, 8 12 = 1, 2, 3, 4, 6, 12

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What is the Greatest Common Factor? 8 = 1, 2, 4, 8 14 = 1, 2, 7,14

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What is the Greatest Common Factor? 6 = 1, 2, 3, 6 18 = 1, 2, 3, 6, 9, 15

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What is the Greatest Common Factor? 6 = 1, 2, 3, 6 12 = 1, 2, 3, 4, 6, 12

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What is the Greatest Common Factor? 8 = 1, 2, 4, 8 16 = 1, 2, 4, 8, 16

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What is the Greatest Common Factor? 8 = 1, 2, 4, 8 10 = 1, 2, 5, 10

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What is the Greatest Common Factor? 3 = 1, 3 6 = 1, 2, 3, 6

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What is the Greatest Common Factor? 4 = 1, 2, 4 6 = 1, 2, 3, 6

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What is the Greatest Common Factor? 7 = 1, 7, 21 = 1, 3, 7, 21

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What is the Greatest Common Factor? 15 = 1, 3, 5, 15 24 = 1, 2, 3, 8, 12, 24

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How to Find the Simplest Form of a Fraction Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number. 12 18 2 3 ÷ 6 6 =

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Simplify or Reduce This Fraction 12 18 2 3 ÷ 6 6 =

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Simplify or Reduce This Fraction 9 21 3 7 ÷ 3 3 =

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Simplify or Reduce This Fraction 12 20 3 5 ÷ 4 4 =

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Simplify or Reduce This Fraction 10 15 2 3 ÷ 5 5 =

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Simplify or Reduce This Fraction 10 16 5 8 ÷ 2 2 =

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Simplify or Reduce This Fraction 12 16 3 4 ÷ 4 4 =

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Simplify or Reduce This Fraction 3 12 1 4 ÷ 3 3 =

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Simplify or Reduce This Fraction 2 8 1 4 ÷ 2 2 =

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2 4 1 2 ÷ 2 2 =

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6 9 2 3 ÷ 3 3 =

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6 8 3 4 ÷ 2 2 =

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