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Adding Fractions with Unlike Denominators

Adding Fractions with Unlike Denominators. 1. 3. 1. 1. 1. 5. 5. 5. 1. 1. 1. 1. 15. 15. 15. 15. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15.

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Adding Fractions with Unlike Denominators

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  1. Adding Fractions with Unlike Denominators

  2. 1 3 1 1 1 5 5 5 1 1 1 1 15 15 15 15 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 Adding Fractions with Unlike Denominators +

  3. 1 1 6 6 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 12 12 12 12 12 12 12 12 12 12 12 12 12 12 Adding Fractions with Unlike Denominators + =

  4. Step 1: Find the LCD of the fractions. Step 2: Rename the fractions using the LCD. 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 4 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 Step 3: Add the numerators. Denominator remains. 1 6 Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators LCD: 12 3 9 3 × = 3 12 4 ? 1 2 2 × = 6 2 12 ? + + 11 12

  5. Step 1: Find the LCD of the fractions. Step 2: Rename the fractions using the LCD. 1 3 Step 3: Add the numerators. Denominator remains. 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators LCD: 9 3 3 1 × = 3 9 3 ? 1 9 + + 4 9

  6. Step 1: Find the LCD of the fractions. 1 2 Step 2: Rename the fractions using the LCD. 1 1 5 5 Step 3: Add the numerators. Denominator remains. 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Step 4: Simplify, if necessary. 1 1 1 1 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 Adding Fractions with Unlike Denominators LCD: 10 2 4 2 × = 2 10 5 ? 1 5 5 × = 2 5 10 ? + + 9 10

  7. 1 Step 1: Find the LCD of the fractions. 2 Step 2: Rename the fractions using the LCD. 1 1 3 3 1 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 Step 3: Add the numerators. Denominator remains. Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators LCD: 6 3 3 1 × = 3 6 2 ? 1 + 6 + 2 2 4 ÷ = 2 3 6 GCF: 2

  8. Step 1: Find the LCD of the fractions. 1 2 1 1 3 3 Step 2: Rename the fractions using the LCD. Step 3: Add the numerators. Denominator remains. 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators LCD: 6 3 3 1 × = 3 6 2 ? 2 2 4 × = 3 2 6 ? + + 7 1 1 = 6 6 1 Whole

  9. Step 1: Find the LCD of the fractions. Step 2: Rename the fractions using the LCD. Step 3: Add the numerators. Denominator remains. Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators 3 3 1 × = 3 12 4 ? LCD: 12 2 6 3 × = 2 12 6 + ? 3 3 9 ÷ = GCF: 3 12 3 4

  10. Step 1: Find the LCD of the fractions. Step 2: Rename the fractions using the LCD. Step 3: Add the numerators. Denominator remains. Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators 7 7 1 × = 7 21 3 ? LCD: 21 3 6 2 × = 3 21 7 + ? 13 21

  11. Step 1: Find the LCD of the fractions. Step 2: Rename the fractions using the LCD. Step 3: Add the numerators. Denominator remains. Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators 4 9 LCD: 9 3 3 1 × = 3 9 3 + ? 7 9

  12. Step 1: Find the LCD of the fractions. Step 2: Rename the fractions using the LCD. Step 3: Add the numerators. Denominator remains. Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators 3 3 1 × = 3 24 8 ? LCD: 24 4 12 3 × = 4 24 6 + ? 3 5 15 ÷ = GCF: 3 24 3 8

  13. Step 1: Find the LCD of the fractions. Step 2: Rename the fractions using the LCD. Step 3: Add the numerators. Denominator remains. Step 4: Simplify, if necessary. Adding Fractions with Unlike Denominators 5 10 2 × = 5 15 3 ? LCD: 15 3 12 4 × = 3 15 5 + ? 7 22 1 = 15 15

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