Dividing Mixed Numbers 6.1.3.1 Multiply and divide decimals and fractions, using efficient and generalizing procedures, including standard algorithms

I can… Self Assessment Divide mixed numbers 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

Use a Model 5            

Algorithm: Dividing Fractions Change mixed numbers into improper fractions. Multiply by the reciprocal. Simplify when possible Multiply Put your answer in simplest form.

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

Your Turn 9 5 1 ÷ 6 55 6 5 1 ÷ 1 1 5 5 11 55 6 = 11 6 x = 6 1

Your Turn 6   2 ÷ 3 20 3 8 9 ÷ 3 5 7 9 8 1 20 3 = 15 2 x = 2 2 1

Your Turn   7 ÷ 8 7 8 13 4 ÷ 1 4 13 7 8 = 7 26 x 2

I can… Self Assessment Divide mixed numbers 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

Dividing Mixed Numbers 7.5 Notes Dividing Mixed Numbers Change mixed numbers into improper fractions. Multiply by the reciprocal. Simplify when possible Multiply Put your answer in simplest form. Example 5       2     1 3