Topic 8: Multiplying Fractions and Mixed Numbers

Multiplying a Fraction by a Whole Number

100

Find the product: 9 x 2/3

6

200

Find the product: 16 x 3/8

6

300

Find the product: 300 x 1/2

150

400

Each lap around a track is 5/6 kilometer. Samantha drove around the track 24 times. How far did Samantha drive?

20 kilometers

500

Drake is making capes. He uses 1/3 yard of fabric for each cape. What is the total amount of fabric Drake needs to make 96 capes?

32 yards

Multiplying a Fraction by a Fraction

100

Find the product: 1/3 x 5/6

5/18

200

Find the product: 7/8 x 1/2

7/16

300

5/7 of 7/9

5/9

400

5/6 of 9/10

3/4

500

Find the product: 2/15 x (3/11 x 3/4)

3/110

Finding Area

100

Find the area of a rectangle with a length of 1/4 ft and a width of 1/2 ft.

1/8 ft²

200

Find the area of a rectangle with a length of 4/5 cm and a width of 3/10 cm.

6/25 cm²

300

Find the area of a square with side lengths of 3/8 inch.

9/64 in²

400

Emilio needs to know how much area to clear for his son's square sandbox. Each side is 3/4 yard. How much land does he need to clear?

9/16 yd²

500

Bo calculated the area of a square to be 25/4 square inches. What do the side lengths of the square equal?

5/2 inches

Multiplying Mixed Numbers

100

Find the product: 3 1/5 x 2/3

2 2/15

200

Find the product: 5 1/3 x 3

16

300

Find 3/5 of 2 4/7

1 19/35

400

The world's smallest gecko is 3/4 inch long. An adult male Western Banded Gecko is 7 1/3 times as long. How long is a Western Banded Gecko?

5 1/2 inches

500

The One World Trade Center in New York is about 3 1/5 times as tall as the Washington Monument in Washington, DC. The Washington Monument is 555 feet tall. How tall is the One World Trade Center?

1,776 feet

Simplifying Fractions

100

Simplify: 3/6

1/2

200

Simplify: 7/28

1/4

300

Simplify: 9/12

3/4

400

Simplify: 66/72

11/12

500

Simplify: 45/108

5/12