Word Problems
Multiplying Fractions
Diagram/Write that Expression
100
3 students equally share 1 tube of glue for an art project. How much glue does each student get?
Explain or show your reasoning.
1/3 of a tube of glue
100
2/8 x 6=
1 4/8 OR 1 1/12
100
4 x 5 1/3
(4x5) + (4x1/3)
(4x6) - (4x2/3)
4x16/3
200
3 students equally share 18 sheets of construction paper for an art project. How many sheets of paper does each student get?
Explain or show your reasoning.
6 sheets of paper since 18 / 3 = 6
200
9 x 2 3/6
22 1/2
200
7x33/4
(7x3) + (7x3/4)
(7x4) - (7x41/4)
7x15/4
300
There are 10 ounces of pasta in the package. Jada cooks 2/3 of the pasta. How many ounces of pasta did Jada cook?
Explain or show your reasoning.
6 2/3
300
5 2/7 x 6=
31 5/7
300
What is the area of the shaded region?
- The shaded region is 2 units by 2 1/4 units so I need to find 2×21/4 That is 4 1/2 square units.
400
Jada cuts a strip of paper into 5 equal parts. Each part is 7/5 inches long. How long was the strip of paper?
35/5 inches or 7 inches or equivalent.
400
4 9/10 x 3=
14 7/10
400
Write a multiplication expression to represent the area of the shaded region.
3×33/4
500
Lin and Han complete a 7 mile race as a team. They each run the same distance. How many miles did each runner complete?
7/2 OR 31/3 miles
500
16 x 3 2/3=
58 2/3
500
Find the area of the shaded region in square units. Explain or show your reasoning.
- The area is 16 8/3 square units because there is a 4 by 4 array that has an area of 16 square units and then I see 2, 4, 6, 8 thirds.
- The area is 18 2/3 square units because there is a 4 by 4 array that has an area of 16, and then I combined the leftover thirds to make 2 more whole units and two thirds of a square unit.
- The area is 56/3 because there are 56 little pieces and each one has an area of 1/3 square unit.