model 3 fraction of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is

a) 19

b) 17

c) 13

d) 5

Question : 2

The sum of the numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, the fraction is increased by $1/24$. The difference of numerator and denominator of the fraction is

a) 9

b) 1

c) 3

d) 5

Question : 3

$2/3$ of three-fourth of a number is :

a) $17/12$ of the number

b) $8/9$ of the number

c) $1/3$ of the number

d) $1/2$ of the number

Question : 4

When $0.\ov{47}$ is converted as a fraction, the result is

a) $47/99$

b) $46/99$

c) $46/90$

d) $47/90$

Question : 5

If the difference between the reciprocal of a positive proper fraction and the fraction itself be $9/20$ , then the fraction is

a) $5/4$

b) $4/5$

c) $3/10$

d) $3/5$

Question : 6

One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?

a) $1/6$

b) $1/3$

c) $2/3$

d) $2/5$