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Word Problems - Mostly Multiplying Fractions

Total questions: 8

Worksheet time: 16mins

Name
Class
Date
1.

Liam designs a quilt that is blue and white and has a soccer ball design. The blue pieces cover 8/12 of the quilt. A soccer ball design is sewn on 4/8 of the blue pieces. Which equation shows which fraction of the quilt pieces have a soccer ball?

a)

48×812=13\frac{4}{8}\times\frac{8}{12}=\frac{1}{3}

b)

48÷812=13\frac{4}{8}\div\frac{8}{12}=\frac{1}{3} 412×812=13\frac{4}{12}\times\frac{8}{12}=\frac{1}{3}

c)

48+812=13\frac{4}{8}+\frac{8}{12}=\frac{1}{3}

d)

48×128=13\frac{4}{8}\times\frac{12}{8}=\frac{1}{3}

2.

Miranda’s car travels 40 miles on 1 381\ \frac{3}{8} gallons of gas. Miranda wants to travel

80 miles. How many gallons of gas will her car use?

a)

120 gallons

b)

2 342\ \frac{3}{4} gallons

c)

2 382\ \frac{3}{8} gallons

d)

34\frac{3}{4} gallons

3.

The floor of a workshop is a rectangle 4 yards wide and 5 235\ \frac{2}{3} yards long.

What is the area of the floor?

a)

9 23yards29\ \frac{2}{3}yards^2

b)

13 13yards213\ \frac{1}{3}yards^2

c)

20 23yards220\ \frac{2}{3}yards^2

d)

22 23yards222\ \frac{2}{3}yards^2

4.

Matt has 23\frac{2}{3} yards of fishing line. He uses 38\frac{3}{8}

of the line to make fishing knots.

How many yards of fishing line does Matt use to make fishing knots? Show your work visually.

5.

Carlos buys 4 134\ \frac{1}{3} pounds of oranges. He uses 34\frac{3}{4}

of the oranges in a recipe. Which of the following expressions can be used to find the number of pounds of oranges that Carlos uses?

Choose all the correct answers.

a)

3 × 134 × 3\frac{3\ \times\ 13}{4\ \times\ 3}

b)

34×43\frac{3}{4}\times\frac{4}{3}

c)

34+34+34+13\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{1}{3}

d)

(34×4)+(34×13)\left(\frac{3}{4}\times4\right)+\left(\frac{3}{4}\times\frac{1}{3}\right)

e)

(34×313)\left(\frac{3}{4}\times\frac{3}{13}\right)

6.

Manny has a piece of ribbon that is 13\frac{1}{3} yard long. He cut it into 2 equal lengths to make bookmarks. How long is the piece of ribbon used for each bookmark?

a)

23\frac{2}{3}

b)

12\frac{1}{2}

c)

26\frac{2}{6}

d)

16\frac{1}{6}

7.

A town park has two biking trails. Marsh Trail is 5 3105\ \frac{3}{10} miles long. Woodland Trail is 2 452\ \frac{4}{5} miles long. How much longer is Marsh Trail than Woodland Trail?

Show your work.

8.

Jenna and Yvonne practice the high jump. Jenna can jump 2 232\ \frac{2}{3} feet. Yvonne can jump 3 5123\ \frac{5}{12} feet. Decide if each equation be used to find how much higher Yvonne jumps then Jenna. Select All equations that can be used to solve this problem.

a)

3 5122 8123\ \frac{5}{12}-2\ \frac{8}{12}

b)

4112×83\frac{41}{12}\times\frac{8}{3}

c)

4112×38\frac{41}{12}\times\frac{3}{8}

d)

2 17122 8122\ \frac{17}{12}-2\ \frac{8}{12}