# Fraction practice test

1.

Which of the following is larger than 3/5?

Explanation:

3/5 = 6/10, 1/2 = 5/10, 39/50 = 7.8/10, 59/100 = 5.9/10

7.8/10>6/10. so, 39/50> 3/5.

2.

When Rs 250 added to 1/4th of a given amount of money makes it smaller than 1/3rd of the given amount of money by Rs 100. What is the given amount of money?

Explanation:

Let the given amount be Rs x A.T.S. x/3-(x/4 + 250) = 100⇒ x = Rs 4200

3.

A boy was asked to find the value of 7/12 of a sum of money. Instead of multiplying the sum by 7/12, he divided it by 7/12 and thus his answer exceeded the correct value by Rs.95. Find the correct value?

Explanation:

Let sum = Rs. K
∴ 12/7 k – 7k/12 = 95
— > 144k – 49k/84 = 95
— > k = 84
∴ 7/12 k — > 7/12 * 84 = Rs. 49

4.

Eight people are planning to share equally the cost of a rental car , if one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by?

Explanation:

Original share of one person = 1/8

new share of one person = 1/7
increase = 1/7 * 1/8 = 1/56
required fractions = (1/56)/(1/8) = 1/7
5.

2 trees are there. One grows at 3/5 of the other. In 4 years total growth of the trees is 8 ft. what growth will smaller tree have in 2 years?.

Explanation:

THE BIG TREE GROWS 8FT IN 4 YEARS=>THE BIG TREE GROWS 4FT IN 2 YEARS.WHEN WE DIVIDE 4FT/5=.8*3=>2.4
4 (x+(3/5)x)=88x/5=2x=5/4 after 2 years x=(3/5)*(5/4)*2 =1.5

6.

In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A ?

Explanation:

A = 2B ; B= 1/2A. So, AB = 2/25

(1/2)A2 = 2/25 ; A2 = 4/25

A = 2/5

7.

A fraction in which nominator is 4 less than denominator. When 10 is added to the denominator the fraction becomes 1/8.What is the original fraction?

Explanation:

Let nominator be x, denominator be x+4 and fraction be y.
then y = x/x+4 on adding 10 to denominator y = 1/8
=> x/x+14 = 1/8
=> x = 2
Therefore y = 2/6

8.

x% of y is y% of ?

Explanation:

x% of y = (x/100)*y = (y/100)*x = y% of x

9.

Express the 4% as a fraction.

Explanation:

4/100 =1/25 = 0.04

10.

The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its denominator, the fraction is decreased by 1 ¼ . Find the value of the fraction.