Multiplying/Dividing Fractions Mrs. Matej
Multiplying Fractions – 5 Steps Step 1. Change all mixed fractions to an improper fraction. 1 9 3 2 3 8 3 x 3 + 1 = 10 8 x 2 + 9 = 25 10 25 3 8
Multiplying Fractions – 5 Steps Step 2. Cross-Reduce if possible. 10 25 3 8 5 25 3 4
Multiplying Fractions – 5 Steps Step 3. Multiply Top x Top 5 25 125 = 3 4
Multiplying Fractions – 5 Steps Step 4. Multiply Bottom x Bottom 5 25 125 = 3 4 12
Multiplying Fractions – 5 Steps 25 125 Step 5. SIMPLIFY = 3 4 12 10 12 125 120 5 5 ANSWER 10 12
Dividing Fractions-6 Steps Step 1. Change all mixed fractions to an improper fraction. 1 9 3 ÷ 2 3 8 3 x 3 + 1 = 10 8 x 2 + 9 = 25 10 25 ÷ 3 8
Dividing Fractions-6 Steps Step 2. Change the division sign to multiplication and flip the second fraction. 10 25 ÷ 3 8 10 8 x 3 25
Dividing Fractions-6 Steps 2 10 8 Step 2. Cross-Reduce if possible. x 3 25 5 2 8 x 3 5
Dividing Fractions-6 Steps 2 8 16 Step 3. Multiply Top x Top x = 3 5
Dividing Fractions-6 Steps Step 4. Multiply Bottom x Bottom 2 8 16 x = 3 5 15
Dividing Fractions-6 Steps 2 8 16 x Step 5. SIMPLIFY = 3 5 15 1 15 16 15 1 1 1 ANSWER 15