1. Dividing with Fractions

2. Models If one and ¾ pizzas are cut into ¼ sections, how many people will receive a share? 1 whole ¾ Since there are 7 equal quarters, 7 people will each receive a share. 1 ¾ ÷ ¼ = 7

3. Model 2 Divide ¾ by 3/16 There are 4 groups of 3/16, so ¾ ÷ 3/16 = 4 1/4 1/16

4. Procedures Instead of drawing models every time, there is a procedure that we can use to easily solve these types of problems. First, we must know what a RECIPROCAL is: Any two numbers whose product is 1 are called reciprocals of each other. How do we find reciprocals? Invert the second fraction, or flip it.

5. Examples Find the reciprocal of the following: 1 7 4 5 6 1 7 1 5 4 6 2 1 = 9 4 Your turn 3 2 and 2 4 4 9 3 9

6. Examples 1 ) First change mixed numbers to improper fractions 2)Flip second fraction (invert) 3)Multiply the two fractions 1) ¾ ÷ 3/16 = ¾ x 16/3 1 3 x 16 4 = 4 invert 1 4 3 1 2) 1 3 ÷ 1 = 7 x 4 = 7 * change mixed numbers to 4 4 4 1 improper fractions first. 3) You try 2 1 ÷ 3 2 = remember to change all mixed 5 3 numbers to improper fractions first.

7. Review Procedures First change all mixed numbers to improper fractions if necessary. Invert or flip the second fraction. Change division symbol to multiplication. Try these: 3 ÷ 9 1 1 ÷ 5 8 16 2 6