Multiplying and Dividing Fractions

Multiplying Fractions

100

1/2  x  3/4

3/8

200

1/5  x  4/6

2/15

300

2/15 x 3/12

1/30

400

5/8 x 4/10

1/4

500

At the Georgia Aquarium, 3/5 of the animals are mammals. Of the mammals, 1/2 are dolphins. What fraction of the animals at the Grant Aquarium are dolphins?

3/10

Multiplying Mixed Numbers

100

2  1/2  x  3  1/4

8  1/8

200

2  3/5  x  1/2

1  3/10

300

3  2/5  x  6  3/6

22  1/10

400

What is the first step when multiplying mixed fractions?

Convert the mixed numbers to improper fractions.

500

On Monday a team of street sweepers cleaned 2 city blocks. Tuesday, the team cleaned 2 1/5 times as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday? 

4  2/5

Dividing Unit Fractions by Whole Numbers

100

1/8 ÷ 4

1/32

200

1/5  ÷  10

1/50

300

1/6  ÷  6

1/36

400

What is the flipped version of a fraction called? 

Reciprocal 

500

1/10 ÷  20

1/200

Dividing Whole Numbers by Unit Fractions

100

5 ÷ 1/4

20

200

6 ÷ 1/3

18

300

8 ÷ 1/5

40

400

What is the saying we use when dividing fractions? 

Keep, Change, Flip   or KCF

500

20 ÷ 1/6

120

Simplifying

100

What is 3/6 simplified?

1/2

200

What is 2/20 simplified?

1/10

300

What is 20/80 simplified?

1/4

400

What is 20/100 simplified?

1/5

500

What does this problem simplify to when you cross cancel?  6/10  x  5/30?

1/2 x 1/5