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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_04
\\November 22, 2023 3:12 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

FACTS
Š The product of two proper fractions is always less than the given fractions.
Š The product of two improper fractions is always greater than the given fractions.

use of operator ‘ofʹ in fractions

2
Pradeep has 18 marbles. He gave of marbles to his younger brother. How many marbles
3
did he give to his brother?
From this problem, what do we understand here?

Here, ‘of’ indicates multiplication. So, we can write the above statement mathematically, as
2
2 of 18 = × 18 = 2 × 18 = 12 marbles
3 3 3
Example: Evaluate the following.
2
2
(a) of 15 (b) of 9
5 3 14
Solution:
2
2
(a) 2 of 15 = × 15 = 2 × 15 = 6 (b) 2 of 9 = × 9 = 2 × 9 = 3
5 5 5 3 14 3 14 3 × 14 7
Practice time 4d

1. Multiply the following:
4
3
(a) by 5 (b) by 5 (c) 20 by 5 (d) 7 by 12
8 7 25 20
2. Find the product in its lowest terms.
2
7
6
(a) of 3 (b) of 3 (c) 10 × 1 (d) × 3
6 5 9 8 15 6 9 28
5
1
2
3
3
3
2
1
(e) × × 2 (f) × × 2 (g) × × 6 (h) × × 7
4 6 3 5 6 9 5 4 8 4 5 9
3. evaluate the following.
5
5
4
(a) of 48 km (b) of 81 kg (c) of 7 (d) 7 of 4 hours
8 9 7 30 20
1
4. Rajat purchases 2 litres of milk daily. How many litres of milk does he purchase in a
week? 2
1
5. Seema finishes part of a work in 1 hour. How much part of the work will she finish
3
1
in 2 hours?
5
1
6. Nidhi, Kajal, Sonal and Payal each ate of a pizza. How much pizza did
they eat all together? 8
7. The weight of an object on Earth is 6 times its weight on Moon. If an
3
object weighs 5 kg on Moon, how much would it weigh on the Earth?
5
Mathematics-5 95