Word Problems
After a party, 2/6 of a pizza is LEFTOVER. If 2 friends decide to share the leftover pizza, what fraction of the pizza will each friend get? Simplify!!!
a.) 1/6 b.) 3/4 c.) 2/12 d.) 1/2
2/6 ÷ 2 2 = 2/1
2/6 ÷ 2/1
2/6 ÷ 1/2
(2 x 1) ÷ (6 x 2)
2/12 = 1/6
Convert to a Improper Fraction
6 1/8
49/8
What is the Greatest Common Factor (GCF) of 60 and 30?
30
Solve: [3(25.10) + 4(12)] - 75
[75.3 + 48] - 75
123.3 - 75
48.3
A rose garden in the city park is rectangular and is 9 m wide. If the area of the rectangle is 144 m2 , what is the length of the garden?
Area = L x W
Area = 144 m2 L =? W = 9 m
Area/W = L
144/9 = L
L = 16
Oliver had an out-of-town company trip last week. Before the trip, he noticed that his car was 3/4 full of gasoline. After the trip, the gas tank was 2/9 full. What fraction of the gasoline in the car was used during the trip?
a.) 1/5 b.) 19/36 c.) 27/36 d.) 15/36
3/4 – 2/9
CD = 36
(3 x 9)/(4 x 9) - (2 x 4)/(9 x 4)
27/36 – 8/36
19/36
Convert into a mixed number
145/8
18 1/8
What is the Greatest Common Factor (GCF) of 57 and 99?
Solve: 5 × (8 + 4 − 6) × 4
5 × (8 + 4 − 6) × 4
5 × (6) × 4
5 x 6 x 4
30 x 4
120
Ben is known for making quality cooking oil. He produced 64 L 200 ml of cooking oil. He reserved 25 L 800 ml of the oil for his regular clients in restaurants. The rest of it was used to fill empty plastic bottles holding 800 ml which will be sold in markets. How many plastic bottles of cooking oil will be filled?
64 L 200 ml = 64,200 ml
25 L 800 ml = 25 800 ml
64,200 – 25,800 = 38,400
38,400 ÷ 800 = 48
Ben can fill 48 plastic bottles of cooking oil.
Oliver gave an urgent task to his 2 assistants, Olivia, and Lucy. Olivia finished the task in 5/6 hours. Lucy finished the same work in 6/5 hours.
a.) Who worked longer?
b.) How many hours longer?
a.) 6/5 > 5/6
b.)
6/5 – 5/6
CD = 30
(6 x 6)/(5 x 6) - (5 x 5)/(6 x 5)
36/30 – 25/30
11/30 or 22 minutes Lucy worked 11/30 hours longer than Olivia.
Solve: 5 2/3 × 1 1/5
Show your work & SIMPLIFY!!
5 2/3 × 1 1/5
17/3 x 6/5
102/15
34/5 or 6 4/5
What is the Greatest Common Factor (GCF) of 70 and 85?
5
True or False
1 + 4(12 - 4) - (0.25 x 100) = 15
Explain! Show your work!
False
1 + 4(8) - (0.25 x 100)
1 + 4(8) - (25)
1 + 32 - (25)
33 - 25
8
A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard? (1 yd = 3 ft)
Area = L x W
A = 15 x 12 = 180ft
180 ft = ? yd
180 ft / 3ft = 60 yd
60 yd x $22 = $1,320
Oliver took 7/10 hours to travel from his house to his office. After 8 hours of work, he traveled 3/4 hours from his office to his house.
How long altogether did Oliver travel on that day?
7/10 + 3/4
CD = 20
(7*2)/(10*2) + (3*5)/(4*5)
14/20 + 15/20
29/20
1 9/20 hours or 1 hour and 27 minutes
Oliver traveled 1 9/20 hours that day.
Simplify: 152/200
19/25
Solve: 26 − 15 − (15 − 7 − 5)
26 − 15 − (15 − 7 − 5)
26 − 15 − (3)
11 - 3
8
Leilani’s water tumbler contains 1.8 L of water. She drank 200 ml from it 1.5 hours after a meal, and she accidentally spilled 1250 ml of water. How much water was left in her water tumbler?
*Hint: 16 ounces = 2 cups = 1 pint 2 pints = 1 quarts 4 quarts = 1 gallon
1.8 L = 1,800 ml 1,800 – 200 – 1250 = 350 ml There was 350 ml of water left in the tumbler.
On the first week, the company accountant completed 2/9 of the company’s annual financial reports which needed to be finished within 3 weeks. During the second week, she completed another 2/3 of the financial reports.
a.) What fraction of the financial reports did she finish during the first and second weeks?
b.) What fraction of the financial reports does she still need to finish in the third week?
a.)
2/9 + 2/3
CD = 9
2/9 + (2x3)/(3x3)
2/9 + 6/9
8/9 of the company’s annual financial reports were completed in weeks 1 and 2.
b.)
9/9 (One whole) – 8/9
1/9
The accountant still needs to complete 1/9 of the company’s annual financial reports during the third week.
Solve the equation! Simplify!!!
6/7 ÷ 1/4
6/7 ÷ 1/4
6/7 ÷ 4/1
(6 x 4) ÷ (7 x 1)
24/7 or 3 3/7
What is the Greatest Common Factor (GCF) of 48 and 64?
16
Solve: 125 ÷ [(18 + 32) /10 ] - 3 x 11
125 ÷ [(50) / 10] - 3 x 5
125 ÷ [5] - 3 x 5
25 - 3 x 5
25 - 15
10
Sandy has an aquarium shaped like a rectangular prism that has a length of 24 inches, a width of 18 inches and a height of 26 inches. What is the volume?
The volume of the aquarium is 11,232 cubic inches.