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Adding Fractions with Unlike Denominators

This guide provides a step-by-step approach to adding fractions with unlike denominators. Start by finding the least common denominator (LCD) for the fractions involved. Then, rename the fractions using the LCD before adding the numerators. Finally, simplify the resulting fraction if necessary. Whether you're a student or just brushing up on your math skills, this method clarifies the addition of fractions, making it easier to handle complex equations. Master these skills for better understanding and application in various mathematical problems!

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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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