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Adding Fractions with Unlike Denominators

Learn how to add fractions with different denominators step-by-step. Find LCD, rename fractions, add numerators, simplify.

noelle-mcdowell
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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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