# Fractions - math word problems

1. Cake 7
1/3 of a cake shared with 4 people. What share of the whole cake has each people?
2. There
There are 32 trees of three species in the orchard. 25% cherries, three eighty pears, others plums. How many plums are in the orchard?
3. The quotient
The quotient of g and 55 is the same as 279. What is g?
4. The cube
The cube has an edge of 12 dm. The second cube has an edge exactly 20% longer. How many % is more water in the second cube than in the first cube, if the first cube is full to 3/4 and the second to 3/8?
5. Two thirds
Find two-thirds of the number equal to two-thirds of 99
6. Composite ratio
Jakub, Aneta, and Lenka divided 1342 USD in the ratio 5/2: 3/10: 1/4. How much did Lenka take?
7. Fractions 3
Calculate 1/9 of 27:
8. Lengths of the pool
Miguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim?
9. Two diggers
Two diggers should dig a ditch. If each of them worked just one-third of the time that the other digger needs, they'd dig up a 13/18 ditch together. Find the ratio of the performance of this two diggers.
10. Mixed with percentages
Calculate 33 1/3% of 570.
11. Discount
The dress was discounted by CZK 115, which was 12% of the original price. What is the cost of the dress after the discount?
12. Sales tax
A sales tax on a Php 10,800 appliance is Php.1,620. What is the rate of sales tax?
13. Square metal sheet
Four squares of 300 mm side were cut out from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet.
14. Mister
15. Equilateral triangle ABC
In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near the point C, and the point M lies in the one-third of the side of the AC side closer to the point A. Find what part of the ABC triangle cont
16. Old laptop
The sale price of an old laptop is Php.11000. If 33 1/3% discount rate is given how much is the sale price of the laptop without the discount? Plese show your solution please. Php is Philippine peso
17. Bicycle gear
The pedal bicycle wheel has 56 teeth and a rear 20 gear tooth. How many times does the bicycle wheel turn when you make 20 turns of the pedal wheel?
18. Seawater
Seawater has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
19. Sum of fractions
What is the sum of 2/3+3/5?
20. Reciprocal equation 3
Solve reciprocal equation: 1/2 + 2/3=1/x

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