Question

If a = 1/2, b = 3/4, verify the following :

(i) a × b = b × a
(ii) a + b = b + a​

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

Given That:

• $\mathsf {a = \frac{1}{2}\:and\:b = \frac{3}{4} }$

(i) a × b = b × a

$= \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2}$

$\mathsf {L.H.S = \frac{1}{2} \times \frac{3}{4} = \frac{3}{8} }$

$\mathsf {R.H.S = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} }$

Thus:

• a × b = b × a. (Verified)

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(ii) a + b = b + a

$= \frac{1}{2} + \frac{3}{4} = \frac{3}{4} + \frac{1}{2}$

$\mathsf {L.H.S= \frac{1}{2} + \frac{3}{4} = \frac{5}{4} }$

$\mathsf {R.H.S = \frac{3}{4} + \frac{1}{2} = \frac{5}{4} }$

Thus:

• a + b = b + a. (Verified)

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Answer 2

Answer:

Step-by-step explanation:

1. (1/2) (3/4) = (3/4)(1/2)

3/8= 3/8

2. 1/2 + 3/4 = 3/4 + 1/2

2+3/4 = 3 + 2/4

6/4 = 6/4

3/2 = 3/2