WORD PROBLEMS ON EXPRESSING ONE QUANTITY AS A FRACTION OF ANOTHER

Problem 1 :

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

Solution:

Amount spend for drink = $3

Amount spend for chocolates = $4

= $3 + $4

= $7

Fraction of spend = 7/10

Problem 2 :

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

Solution:

Total Questions = 40

correct answer = 27

Difference = 40 - 27

= 13

Fraction of incorrect answer = 13/40

Problem 3 :

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 = 9

Number of apples she ate = 3

Number of apples she fed = 2

Remaining apples = 4

So, fraction of remaining apples = 4/9

Problem 4 :

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:

Journey = 420 km

Car broke down = 280 km

So, 420 - 280 = 140 km

Fraction of his journey = 140/420

= 1/3

Problem 5 :

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:

He started his homework = 8.15 pm

Completed his homework = 9.08 pm

= 9.08 - 8.15

= 53 minutes

Fraction of that time = 53/60

Problem 6 :

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

Solution:

Total length of the rope = 95 cm

Each pieces = 30 cm long

Length of 3 pieces = 90 cm

Remaining rope = 5 cm

Fraction of remaining rope = 5/95

= 1/19

Problem 7 :

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:

Game won = 1/3

Total games = 15

= 1/3 × 15

= 5 games

So, he wins 5 games.

Problem 8 :

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:

Given, 1/5^th of student were absent.

Total number of students in the school = 245

= 1/5 × 245

= 49 students

Problem 9 :

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:

Total number of cars = 222

Cars painted white = 1/6

= 1/6 × 222

= 37 cars

So, 37 cars were painted white.

Problem 10 :

Ling spent one third of her money on a new badminton racket. If she had 936 RMB before she bought the racket, how much did the racket cost?

Solution:

Money spend = 1/3

= 1/3 × 936

= 312 RMB