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Adding Fractions

Adding Fractions. Add numerators — 8. Adding Fractions with Like Denominators. 1 12. 2 12. 5 12. 8 12. +. +. =. Add numerators — 8 Reduce fraction to lowest possible terms if necessary —. Adding Fractions with Like Denominators. 1 12. 2 12. 5 12. 8 12. +. +. =.

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Adding Fractions

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  1. Adding Fractions

  2. Add numerators — 8 Adding Fractions with Like Denominators 1 12 2 12 5 12 8 12 + + =

  3. Add numerators — 8 Reduce fraction to lowest possible terms if necessary — Adding Fractions with Like Denominators 1 12 2 12 5 12 8 12 + + = 8 12 2 3 =

  4. Find lowest common denominator — 18 Adding Fractions with Unlike Denominators 1 3 5 6 7 9 = 18

  5. Find lowest common denominator — 18 Divide lowest common denominator by denominator of each fraction to find quotient Adding Fractions with Unlike Denominators 1 3 5 6 7 9 = 18 , , 1 3 = 18 ¸ 3 = 6 5 6 = 18 ¸ 6 = 3 7 9 = 18 ¸ 9 = 2

  6. 3. Multiply numerators and denominators of each fraction by quotient to rewrite fraction Adding Fractions with Unlike Denominators 1 ´ 6 6 3 ´ 6 18 1 3 = = 5 ´ 3 15 6 ´ 3 18 5 6 = = 7 ´ 2 14 9 ´ 2 18 7 9 = =

  7. 4. Add numerators of rewritten fractions — 35 Adding Fractions with Unlike Denominators 6 18 15 18 14 18 35 18 + + =

  8. 4. Add numerators of rewritten fractions — 35 5. Reduce fraction to lowest possible terms or convert improper fraction to mixed fraction if necessary — Adding Fractions with Unlike Denominators 6 18 15 18 14 18 35 18 + + = 35 8 17 18 = 1

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