Fractions as Quotients
Fractions of Whole Numbers
Fractions of Whole Numbers
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 could be used to represent this diagram?
Possible answers:
3 ÷ 5
3 xx 1/5
100
Find the value of
1/3 xx 34
34/3 = 11 1/3
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
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)
200
Find the value of
1/2 xx 6
3
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
Explain why
10÷4=10/4
If I divide 10 things each into 4 equal shares and take 1 of each, that's 10 ÷ 4.
Since each share is 1/4 and there are 10 of those shares, that equals 10/4 .
300
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
300
Find the value of
1/7 xx 6
6/7
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
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
400
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.
400
Find the value of
1/8 xx 11
11/8 = 1 3/8
400
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.
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
Lin and Han ran a 3-mile relay race as a team. They each ran the same distance.
How far did each person run?
3/2 or 1 1/2 miles
500
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
500
