Question

Verify : x + y = y + x. a) x = 1/6,y = 2/3

Answer 1

x + y = y + x

Substituting x for 1/6 and y for 2/3, we get

1/6+2/3 = 2/3+1/6

2/3 = 4/6

1/6+4/6 = 4/6+1/6

1/6+4/6 = (1+4)/6 = 5/6

4/6+1/4 = (4+1)/6 = 5/6

5/6 = 5/6

x + y = y + x

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Answer 2

Answer:

LHS=RHS ,

$\frac{1 \times 1}{6 \times 1} + \frac{2 \times 2}{3 \times 2} = \frac{1 + 4}{6} = \frac{5}{6}$

Now take lcm of 6 and 3 = 6

$\frac{2 \times 2}{3 \times 2} + \frac{1 \times 1}{6 \times 1}$

$\frac{4}{6} + \frac{1}{6} = \frac{5}{6}$

Hence LHS = RHS