Multiplying and Dividing Fractions and Mixed Numbers

Multiplying Fractions

100

1/4 x 2/3

2/12 = 1/6

200

5/8 x 4/9

5/18

300

30 x 1/10

3

400

24 x 5/16

7 1/2

500

72 x 5/12

30

Dividing Fractions

100

Find the reciprocal of 7.

1/7

200

Find the reciprocal of 3/2.

2/3

300

Divide 12 / 4/5

15

400

Divide 5/8 / 2/9

2 13/16

500

Divide 12/13 / 16

3/52

Multiplying Mixed Numbers

100

Rename 2 1/8 as an improper fraction

17/8

200

2 2/5 x 5/6

2

300

2/3 x 9 3/10

6 1/5

400

7 1/2 x 2 2/5

21

500

The hour hand of a clock moves 30 degrees every hour. How many degrees does it move in 2 3/4 hours

2 3/4 x 30 = 82 1/2

Dividing Mixed Numbers

100

Find the reciprocal of 2 5/6

1 6/17

200

Divide 2 1/3 / 1/6

14

300

Divide 3 1/5 / 4/15

12

400

Divide 32 / 1 3/5

20

500

Jorge cut a 5 1/5 m board into 5 equal pieces. How long was each piece?

1 1/25 m

Random

100

Find the reciprocal of 1.

1

200

Put 3/6 in simplest form.

1/2

300

Explain the process of dividing a mixed number by a fraction.

1. Rename the mixed number by multiplying the whole number by the denominator of the fraction, and adding the product to the numerator. That equation goes over the denominator of the fraction.

2. Find the reciprocal of the fraction.

3. Multiply the improper fraction by the reciprocal, using the GCF way or original way.

4. Simplify.

400

One third of the 24 students in class read books on sports. How many students in the class do not read books on sports?

2/3 x 24 = 16 students.

500

Solve a x (b / c) when:

a = 2 5/9

b = 2/3

c = 2/9

7 2/3