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Answers
Answer:
3
i) 15/63
ii) 21/10
iii) 763/63
iv) 19/6 165/23
4
i) 14
ii) 98/9
iii) 21.84
Step-by-step explanation:
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3. Evaluate the following.
(i) 3/7 × 5/9
(ii) 2/5 × 5 1/4
(iii) 2 1/3 × 5 4/21
(iv) 3 1/6 × 7 4/23
------------
Given :
- 3/7 × 5/9
- 2/5 × 5 1/4
- 2 1/3 × 5 4/21
- 3 1/6 × 7 4/23
To :
- evaluate the following
Solution :
⇒ Let's evaluate them.
(i) 3/7 × 5/9
= 3/7 × 5/9
= 3 × 5/7 × 9
= 15/63
(ii) 2/5 × 5 1/4
= 2/5 × 5 1/4 (5 × 4 + 1/4)
= 2/5 × (21/4)
= 2 × 21/5 × 4
= 42/20
(iii) 2 1/3 × 5 4/21
= 2 1/3 × 5 4/21
= 7/3 × 106/21 [Converted to an improper fraction]
= 7 × 106/3 × 21
= 742/63
(iv) 3 1/6 × 7 4/23
= 3 1/6 × 7 4/23
= 19/6 × 165/23
= 19 × 165/6 × 23
= 3135/138
4. Find the value of :
(i) 1/3 of Rs.42
(ii) 3/7 of 4 2/3 kg
(iii) 4 1/2 times of 5 1/2 metres.
-----------------
Given :
- 1/3 of Rs.42
- 3/7 of 4 2/3 kg
- 4 1/2 times of 5 1/2 metres.
To :
- value of following
Solution :
⇒ Let's find the Value.
(i) 1/3 of Rs.42
= 1/3 × 42
= 1 × 42/3
= 42/3
= 14
= Rs. 14
(ii) 3/7 of 4 2/3 kg.
= 3/7 of 4 2/3
= 3/7 × 14/3 [3 cancels]
= 14/7
= 2
= 2 kgs
(iii) 4 1/2 times of 5 1/2 metres.
= 4 1/2 × 5 1/2
= 9/2 × 11/2
= 99/4
= 24 3/4 m or 24.75 m