# FRACTIONS OF QUANTITIES WORD PROBLEMS

Here we see some situation that how we are using fractions in real world. When we write fractions that involve measurements, it is important to make sure that the measures are in the same unit.

If they are in different units, we have to convert into the same unit and express it as fraction. The answer should be in the simplest form.

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.

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