Change to Mixed Number---7/4 Change to Improper Fraction-- 5 and 2/3 GCF of 30 and 36 LCM of 8 and 12 5/6 – 1/3 2/5 + 3/10
Dividing Fractions
To Divide Fractions: Keep the first fraction Change the division sign to a multiplication sign. Flip the second fraction upside down. Multiply.
Reciprocal When you flip the second fraction, you are writing that fraction’s reciprocal. 3 5 5 3 http://www.youtube.com/watch?v=zED6DFflsAI
Example 1 Keep---Change---Flip ÷ 2 3 Rewrite: 1 2 2 x = 1 3 3
Example 2 Keep---Change---Flip 4 4 ÷ 5 9 Rewrite: 1 4 9 9 4 1 x = = 4 1 5 5 5
Example 3 Keep---Change---Flip 12 3 ÷ 5 1 Rewrite: 20 4 12 5 20 x = = 1 1 3 1
Example 4 Keep---Change---Flip 1 2 ÷ 6 1 Rewrite: 1 1 1 x = 6 2 12
Fraction Tips Mixed Number to Improper Improper to Mixed Whole number times denominator Plus numerator Keep same denominator Improper to Mixed Divide numerator by denominator Adding/Subtracting Find common denominator (find LCM) Simplify (find GCF) Multiplying Multiply across the top and bottom Dividing Keep---Change---Flip
http://www.mathplayground.com/fractions_mixed.html http://www.mathplayground.com/fracti ons_improper.html
Independent Practice Page 274 (9-14) Page 274 (24-27) Early Finishers
Dividing Mixed Numbers
To divide Mixed Numbers: Change mixed numbers into improper fractions. Keep the first fraction Change to multiplication Flip second fraction Simplify-change back to mixed number http://www.youtube.com/watch?v=SA6Z94imM9M
Example 1 6 2 2 ÷ 2 5 7 32 16 ÷ 5 7 2 2 32 7 14 4 = = x 16 1 5 5 5
Example 2 1 6 1 ÷ 2 9 3 10 20 ÷ 9 3 10 1 1 3 1 x = 2 3 9 20 6
Example 3 8 5 1 ÷ 13 105 5 ÷ 13 1 1 1 8 21 105 = 21 x = 13 13 13 5 1