FRACTIONS OF QUANTITIES WORD PROBLEMS

Problem 1 :

What fraction of 1 meter is 20 cm ?

Solution :

The quantities involving here they are not in the same unit. Converting into the same unit,

1 meter = 100 cm

Expressing how much 1 meter is 20 cm,

= 20/100

= 1/5

Problem 2 :

State what fraction of 1 week in 2 days ?

Solution :

1 week consist of 7 days

So, converting into the same unit, we get

2 days is 2/7 of a week.

Problem 3 :

Gordon spent $3 on a drink and $4 on chocolates. what fraction of $10 did he spend ?

Solution :

Amount spent for drink = $3

Amount spent for chocolate = $4

Total amount spent = 3 + 4

= 7

Amount he has = $10

Expressing as fraction = 7/10

Problem 4 :

Jenny scored 27 correct answers in her test of 40 questions. What fraction of her answers were incorrect.

Solution :

Total number of questions = 40

Number of questions answered correctly = 27

Number of questions answered incorrectly = 40 - 27

= 13

Fractional part of questions answered incorrectly = 13/40

Problem 5 :

Linda had a bag of 9 apples. She ate 3 and she fed 2 others to her horse. What fraction of her apples remain?

Solution :

Total number of apples she has = 10

Number of apples she ate = 3

Number of apples she fed to the horse = 2

Number of apples she has used = 3 + 2 

= 5

Number of apples left = 10 - 5

= 5

Fraction part of apples remain = 5/10

= 1/2

Problem 6 :

James was travelling a journey of 420 km. His car broke down after 280 km. What fraction of his journey did he still have to travel?

Solution :

Distance to be covered = 420 km

Car broke down after 280 km

Distance to be covered = 420 - 280

= 140

Fraction of distance to be covered = 140/420

= 14/42

= 7/21

= 1/3

So, 1/3 of the distance to be covered.

Problem 7 :

Tran started his homework at 8:15 pm and completed it at 9:08 pm. If he had allowed one hour to do his homework, what fraction of that time did he use?

Solution :

Difference between time, 9 : 08 to 8 : 15

He has used 53 minutes,

fraction part = 53/60

Problem 8 :

Vijay had 95 cm of rope. He cut 3 pieces from it, each 30 cm long. What fraction of the rope remained?

Solution :

Length of each piece = 30 cm

Number of pieces = 3

Quantity of rope used = 95 - 3(30)

= 95 - 90

= 5 cm

Fraction part of the rope didnt use = 5/95

= 1/19

Problem 9 :

Viktor only won one third of the games of tennis that he played for his school team. If he played 15 games, how many did he win?

Solution :

Number of games he played = 15

Part of games he win = 1/3 of the games.

Number of games win = 1/3 of 15

= 1/3 x 15

= 5 games

Problem 10 :

One fifth of the students at a school were absent because of chicken pox. If there were 245 students in the school, how many were absent?

Solution :

Number of students in the school = 25

Part of the students affected by chicken pox = 1/5 of school

Number of students affected by chicken pox

= 1/5 x 25

= 5 students

Problem 11 :

One sixth of the cars from an assembly line were painted white. If 222 cars came from the assembly line, how many were painted white?

Solution :

Number of cars in the assembly line = 222

Number of cars pained white = 1/6 of the car

= 1/6 of 222

= (1/6) x 222

= 37

So, 37 students were painted white.