FINDING A FRACTION OF A NUMBER WORD PROBLEMS

Problem 1 :

What fraction of a day is 8 hours?

Solution:

We know that 1 day has 24 hours.

24 hours = 1 day

Hence, 8 hours is 1/3rd of a day.

Problem 2 :

What fraction of an hour is 40 minutes?

Solution:

60 minutes = 1 hour

It means that,

Hence, 40 minute is a 2/3 fraction of an hour.

Problem 3 :

Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.

(a) How can Arya divide his sandwiches so that each person has an equal share?

(b) What part of a sandwich will each boy receive?

Solution:

a) Arya can divide sandwich three equal parts so that each person receives an equal share.

b) Each boy will receive 1/3 part of a sandwich.

Problem 4 :

Kanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?

Solution:

Total number of dresses = 30

Dresses that are completely dye = 20

Therefore, Fraction of dresses finished by Kanchan is 2/3.

Problem 5 :

Write the natural numbers from 2 to 12. What fraction of them are prime numbers?

Solution:

The natural numbers are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

The prime numbers are 2, 3, 5, 7, 11.

Therefore, the fractions of prime numbers from 2 to 12.

Hence, the fraction of prime numbers among natural numbers from 2 to 12 is 5/11.

Problem 6 :

Write the natural numbers from 102 to 113. What fraction of them are prime numbers?

Solution:

Natural numbers from 102 to 113:

102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113

Total number of Natural numbers from 102 to 113 = 12

Prime numbers from 102 to 113:

103, 107, 109, 113

Total number of prime numbers from 102 to 113 = 4

Hence, fraction of prime numbers from 102 to 113 = 4/12

= 1/3

Problem 7 :

What fraction of these circles have X's in them ?

Solution:

Number of circles = 8

Number of circles with X = 4

Fraction = 4/8 

= 1/2

Problem 8 :

Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Solution:

Number of CD's Kristin purchased = 3

Number of CD's Kristin received as gifts = 5

Total number of CD's Kristin has = 3 + 5 = 8

The fraction of her total CDs Kristin purchased =3/8.

The fraction of her total CD's Kristin received as gifts =5/8.