Fractions as Quotients
Fractions of Whole Numbers
Fractions of Whole Numbers Word Problems
Area and Fractional Side Lengths
100
Five friends equally share 3 liters of water. How many liters of water does each person get? Explain or show your reasoning.
3 ÷ 5 = 3/5
Each friend will get 3/5 liters of water.
100
What expression represents the shaded parts of the diagram?
possible answers:
2 xx (4 ÷ 3)
4 xx 2/3
4 xx (2 xx 1/3)
100
Kiran ran 1/5 the length of his road, which is 9 miles long. How far did Kiran run?
1/5 x 9 = 9/5 miles or 1 4/5 miles
100
Write an expression for the area of the shaded region. Then, find the area.
1/3 xx 5 or 5 xx 1/3
5/3 = 1 2/3 square units
200
Write a division equation that matches the diagram. Explain or show your reasoning.
4 ÷ 3 = 4/3
200
Find the value of
1/8 xx 11
11/8 = 1 3/8
200
A bottle holds 2 liters of water. Clare drank 3/5 of the bottle of water. How many liters of water is that? Explain or show your reasoning.
2 xx 3/5 = 6/5 = 1 1/5 liters of water.
200
Write an expression for the area of the shaded region. Then, find the area.
2/4 xx 3 or 1/2 xx 3
6/4 or 3/2 = 1 1/2 square units
300
Lin and Han ran a 3-mile relay race as a team. They each ran the same distance.
Draw a diagram to represent the situation.
How far did each person run?
1 1/2 or 3/2
300
Find the value of
1/3 xx 34
34/3 = 11 1/3
300
A recipe needs 5 cups of milk. If you make 3/4 of the recipe, how much milk do you use?
3 3/4 cups of milk.
300
Write an expression for the area of the shaded region. Then, find the area.
5/3 xx 4
20/3 or 6 2/3 square units
400
Han cuts a 15-foot piece of rope into 4 equal parts. Which of these expressions could represent this problem?
a. 15 ÷ 4
b. 4 x 15
c. 3 3/4
a. Yes
b. No - this is 4 times as long as the piece of rope.
c. Yes
400
Find the value of the expression.
7 × 3 3/4
26 1/4
400
A 3–liter pitcher is 7/8 full. How many liters of water are in the pitcher?
2 5/8 liters
400
500
Jordan made 92 ounces of trail mix for a hike and wants to make 15 equal snack bags.
How many ounces of trail mix will each bag get?
6 and 2/15
500
Find the value of the expression.
5 2/3 xx 4
(5 xx 4) + (2/3 xx 4) = 22 2/3
68/3 = 22 2/3
500
A tank of gas is 3/5 full and has 8 gallons of gas in it currently. How many gallons does the tank hold when it's full?
13 1/3 gallons
500
A standard rectangular sheet of paper measures 8 1/2 inches in width and 11 inches in length. How many square inches are there in a sheet of paper?
8 1/2 xx 11 = 93 1/2