Problem 1 :
Find the value of :
1/5 of 3/8
Problem 2 :
Find the value of :
1/2 of 3/4 of 11/12
Problem 3 :
Find the value of :
1/12 of (1/4 + 2)
Problem 4 :
Find the value of :
2/9 ⋅ 3/2
Problem 5 :
Find the value of :
2/5 ⋅ 5 2/3
Problem 6 :
Find the value of :
6 3/4 ⋅ 7/10
Problem 7 :
Lily reads 1/4^{th} of a book in 1 hour. How much of the book will she read in 3½ hours?
Problem 8 :
David ate 1/3 of the pizza and gave 3/4^{th} of the remaining to his friend. What is the part of the pizza did David give his friend ?
1. Answer :
The value of 1/5 of 3/8 :
= 1/5 ⋅ 3/8
= (1 ⋅ 3)/(5 ⋅ 8)
= 3/40
2. Answer :
The value of 1/2 of 3/4 of 11/12 :
= 1/2 ⋅ 3/4 ⋅ 11/12
= (1 ⋅ 3 ⋅ 11)/(2 ⋅ 4 ⋅ 12)
= (1 ⋅ 1 ⋅ 11)/(2 ⋅ 4 ⋅ 4)
= 11/32
3. Answer :
The value of 1/12 of (1/4 + 2) :
= 1/12 ⋅ (1/4 + 2)
= 1/12 ⋅ (1/4 + 8/4)
= 1/12 ⋅ (1 + 8)/4
= 1/12 ⋅ 9/4
= (1 ⋅ 9)/(12 ⋅ 4)
= (1 ⋅ 3)/(4 ⋅ 4)
= 3/16
4. Answer :
The value of 2/9 ⋅ 3/2 :
= (2 ⋅ 3)/(9 ⋅ 2)
= 6/18
5. Answer :
The value of 2/5 ⋅ 5 2/3 :
= 2/5 ⋅ 17/3
= (2 ⋅ 17)/(5 ⋅ 3)
= 34/15
= 2 4/15
6. Answer :
The value of 6¾ ⋅ 7/10 :
= 27/4 ⋅ 7/10
= (27 ⋅ 7)/(4 ⋅ 10)
= 189/40
= 4²⁹⁄₄₀
7. Answer :
The part of the book read by Lily in 1 hour is 1/4.
So, the part of the book read by Lily in 3 1/2 hours is
= 3½ ⋅ 1/4
= 7/2 ⋅ 1/4
= (7 ⋅ 1)/(2 ⋅ 4)
= 7/8
Hence, Lily will read 7/8 part of the book in 3 1/2 hours.
8. Answer :
The part of the pizza eaten by David is 1/3.
So, the remaining pizza is 2/3.
The part of the pizza given to his friend is
= 3/4 of the remaining
= 3/4 of 2/3
= 3/4 ⋅ 2/3
= (3 ⋅ 2)/(4 ⋅ 3)
= (1 ⋅ 1)/(2 ⋅ 1)
= 1/2
Hence, David gave 1/2 of the pizza to his friend.
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