1. Adding Fractions
with
Unlike Denominators

2. Adding Fractions with Unlike Denominators5 1 5 1 5 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 15 1 3 1 15 1 15 1 15 1 15 1 15 1 15 1 +

3. Adding Fractions with Unlike Denominators12 1 12 1 6 1 4 1 12 1 12 1 12 1 12 1 + 12 1 6 1 12 1 12 1 =

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

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

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

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

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

9. Adding Fractions with Unlike Denominators1 3 3 × = 4 3 12 ?
LCD: 12 3 2 6 × = 6 2 12 + ? 9 3 3 ÷ =
GCF: 3 12 3 4
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.

10. Adding Fractions with Unlike Denominators1 7 7 × = 3 7 21 ?
LCD: 21 2 3 6 × = 7 3 21 + ? 13 21
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.

11. Adding Fractions with Unlike Denominators4 9
LCD: 9 1 3 3 × = 3 3 9 + ? 7 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.

12. Adding Fractions with Unlike Denominators1 3 3 × = 8 3 24 ?
LCD: 24 3 4 12 × = 6 4 24 + ? 15 3 5 ÷ =
GCF: 3 24 3 8
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.

13. Adding Fractions with Unlike Denominators2 5 10 × = 3 5 15 ?
LCD: 15 4 3 12 × = 5 3 15 + ? 22 1 7 = 15 15
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.