Adding Fractions with Unlike Denominators.

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Presentation transcript:

Adding Fractions with Unlike Denominators

Adding Fractions with Unlike Denominators 5 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 +

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

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.

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.

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.

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

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

Adding Fractions with Unlike Denominators 1 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.

Adding Fractions with Unlike Denominators 1 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.

Adding Fractions with Unlike Denominators 4 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.

Adding Fractions with Unlike Denominators 1 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.

Adding Fractions with Unlike Denominators 2 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.