Equal Sharing and Division
Four friends share 3 large pizzas equally. What fraction of a pizza does each friend get?
3/4 of a pizza (3 ÷ 4 = 3/4)
Rewrite this division problem as a fraction: 9 ÷ 4.
9/4 (or 2 1/4)
Find the value of 5 × 1/4
5/4 or 1 1/4
A rectangular banner is 4 feet long and 1/3 foot wide. What is its area?
4/3 square feet (or 1 1/3 sq ft)
Find the value of 3 × 2 1/2 by breaking 2 1/2 into (2 + 1/2)
(3 × 2) + (3 × 1/2) = 6 + 3/2 = 7 1/2
Six football players share 5 energy bars after practice. Write the fraction each player gets.
5/6 of a box (5 ÷ 6 = 5/6)
Rewrite the fraction 11/5 as a division equation.
11 ÷ 5 = 11/5
A video game player spends 2/5 of an hour on 4 different mini-games. Find 4 × 2/5
8/5 hours or 1 3/5 hours
A grid tile covers 3 whole units long and 2/5 units wide. What is the area?
6/5 square units (or 1 1/5 sq units)
A dog goes on 4 walks. Each walk is 1 1/3 miles. How far does the dog walk in all?
4 × 1 1/3 = (4 × 1) + (4 × 1/3) = 4 + 4/3 = 5 1/3 miles
Explain or Show why 8 ÷ 3 is equal to 8/3.
8 items are divided into 3 equal parts, so each share consists of 8 pieces of size 1/3, which is 8/3 (or 2 2/3).
A dog gets 3 cups of treats split equally over 8 days. Write an expression and the fraction of a cup he gets each day.
Expression: 3 ÷ 8 | Fraction: 3/8 cup per day
Student Mistake Alert! Alex says 6 × (3/8) = 18/48. Explain Alex's mistake AND correct his work!
He multiplied the numerator AND denominator by 6.
6 x 3/8 = 18/8 or 2 2/8
Find the area of a rectangle with length = 7 meters and width = 3/5 meter.
21/5 square meters (or 4 1/5 sq m)
Solve: 5 × 3 2/5.
(5 × 3) + (5 × 2/5) = 15 + 10/5 = 15 + 2 = 17
A 12-foot ribbon is cut into 5 equal lengths for routine props. Write a division expression AND a fraction in feet for each ribbon.
Expression: 12 ÷ 5
Fraction: 12/5 feet (or 2 2/5 feet)
Which expression is NOT equal to 5/3? Explain WHY it is not equal.
A) 5 ÷ 3
B) 5 × (1/3)
C) 3 ÷ 5
D) (1/3) × 5
C) 3 ÷ 5 (This equals 3/5, not 5/3!)
Solve: 3/7 × 8.
24/7 = 3 3/7
The length of a rectangular flag is 9 ft. The width of the flag is 1 4/5 ft. What is the area of the flag?
9 36/5 square feet or 16 1/5 sq. ft.
A gamer plays for 4 days. Each day they play for 2 3/4 hours. What is the total hours played?
4 × 2 3/4 = (4 × 2) + (4 × 3/4) = 8 + 12/4 = 8 + 3 = 11 hours
True or False: If 7 friends share 4 liters of water, each gets 7/4 liters. Explain why using words.
FALSE! They share 4 liters among 7 people, so it is 4 ÷ 7 = 4/7 liters. (The amount being shared goes in the numerator!).
If 14 ÷ b = 14/9, what is the value of b?
Write a real-world story problem that matches this equation.
b = 9.
Example story: 14 pounds of apples are shared equally among 9 students. Each gets 14/9 (or 1 5/9) pounds.
Solve 12 × 5/8. Express your answer as a fraction greater than 1 or a mixed number.
60/8 = 7 4/8
A wall mural measures 8 meters long by 7/8 meter high.
If paint costs $4 per square meter, how much will it cost to paint the mural?
Area = 56/8 or 7 sq. meters.
Cost = $28.00
A baker needs 3 3/8 cups of flour per cake. If she bakes 8 cakes, how many total cups of flour will she use?
8 × 3 3/8 = (8 × 3) + (8 × 3/8) = 24 + 24/8 = 24 + 3 = 27 cups of flour