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Multiplying with Fractions

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Based on the grid, what is the product of 12\frac{1}{2} and 15\frac{1}{5} ?

a)

910\frac{9}{10}

b)

110\frac{1}{10}

c)

23\frac{2}{3}

d)

15\frac{1}{5}

2.

At Oak Field School, 23\frac{2}{3} of the students play an instrument. Of the students who play an instrument, 14\frac{1}{4} play a stringed instrument. What fraction of students play a string instrument?

a)

14\frac{1}{4}

b)

16\frac{1}{6}

c)

15\frac{1}{5}

d)

312\frac{3}{12}

3.

25\frac{2}{5} x 37\frac{3}{7}

a)

630\frac{6}{30}

b)

511\frac{5}{11}

c)

635\frac{6}{35}

d)

435\frac{4}{35}

4.

23 x 3\frac{2}{3}\ x\ 3

a)

31\frac{3}{1}

b)

69\frac{6}{9}

c)

53\frac{5}{3}

d)

2

5.

An art teacher found that in a bin of markers, 12\frac{1}{2} of the caps had been left off the markers. Of these markers, 14\frac{1}{4} of them were dried up. Use the model to find what fraction of the markers had the lids left off and were dried up?.

a)

18\frac{1}{8}

b)

26\frac{2}{6}

c)

28\frac{2}{8}

d)

16\frac{1}{6}

6.

In a hospital, 34\frac{3}{4} of the babies born in January were girls. Of these girls, 13\frac{1}{3} of them weighed less than 7 pounds. Use the model to find what fraction of the babies were girls and weighed less than 7 pounds.

a)

13\frac{1}{3}

b)

39\frac{3}{9}

c)

312\frac{3}{12}

d)

34\frac{3}{4}

7.

Find the value of the expression

411x 14\frac{4}{11}x\ 14

a)

14011\frac{140}{11}

b)

5611\frac{56}{11}

c)

8411\frac{84}{11}

d)

11211\frac{112}{11}

8.

Which of the following equations is modeled by the figure?

a)

45 x 2 =85\frac{4}{5}\ x\ 2\ =\frac{8}{5}

b)

45 x 2 =810\frac{4}{5}\ x\ 2\ =\frac{8}{10}

c)

54 x 2 =108\frac{5}{4}\ x\ 2\ =\frac{10}{8}

d)

54 x 2 =58\frac{5}{4\ }x\ 2\ =\frac{5}{8}

9.

Which number line models the product of 45\frac{4}{5} and 23\frac{2}{3} ?

a)

b)

c)

d)

10.
Question Image

Using the fraction model, identify what the factors are for each color.

Blue = ?

Yellow = ?

Product = ?

a)

13\frac{1}{3}

1.

Blue

b)

45\frac{4}{5}

2.

Yellow

c)

415\frac{4}{15}

3.

Product