Chapter 1: Fractions Exercise – 2.3
Question: 1
Find the reciprocal of each of the following fractions and classify them as proper, improper and whole numbers
(i) 3/7
(ii) 5/8
(iii) 9/7
(iv) 6/5
(v) 12/7
(vi) 1/8
Solution:
(i) 3/7
7/3 = improper number
(ii) 5/8
8/5 = improper number
(iii) 9/7
7/9 = proper number
(iv) 6/5
5/6 = proper number
(v) 12/7
7/12 = proper number
(vi) 1/8
8 = whole number
Question: 2
Divide:
Solution:
Question: 3
Divide:
Solution:
Question: 4
Simplify:
Solution:
Question: 5
A wire of length 12(1/2)m is cut into 10 pieces of equal length. Find the length of each piece.
Solution:
Question: 6
The length of a rectangular plot of area 65(1/3) m2 is 12(1/4) m. What is the width of the plot?
Solution:
Given,
The length of a rectangular plot of area 65(1/3) m2 is 12(1/4) m.
Question: 7
By what number 6(2/9) be multiplied to get 4(4/9)?
Solution:
Given,
Let x be the number which needs to be multiplied by 56/9,
Now,
Question: 8
The product of two numbers is 25(5/6). If one of the numbers is 6(2/3), find the other?
Solution:
Given,
The product of two numbers is 25(5/6). If one of the numbers is 6(2/3),
Let the other number be x.
Question: 9
The cost of 6(1/4) kg of apples is Rs 400. At what rate per kg are the apples being sold?
Solution:
Given,
Question: 10
By selling oranges at the rate of Rs 5(1/4) per orange, a fruit seller get Rs 630. How many dozens of oranges does he sell?
Solution:
Given,
By selling oranges at the rate of Rs 5(1/4) per orange, a fruit seller get Rs 630.
5(1/4) = 2(1/4)
12 apples =1 dozen
Therefore, 120 apples = 10 dozen
Question: 11
In mid-day meal scheme 3/10 litre of milk is given to each student of a primary school. If 30 litres of milk is distributed every-day in the school, how many students are there in the school?
Solution:
Given,
3/10 litre of milk is given to each student of a primary school.
30 litres of milk is distributed everyday in the school
Number of students given 3/10 litres of milk = 1
Number of students given 1 litre of milk = 10/3
Number of students given 30 litres of milk = 10/3 × 30 = 100 Students
Question: 12
In a charity show Rs 6496 were collected by selling some tickets. If the price of each ticket was Rs 50(3/4), how many tickets were sold?
Solution:
Given,
Rs 6496 were collected by selling some tickets. If the price of each ticket was Rs 50(3/4),
