Question

There is internal choice in Section - III Marks : 60 PART-A Section - 1 Note: 1. Answer all the Questions. 2. Each Question carries 2 Marks - 1. Prove that 1/3+1/6 =1/6+1/3
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Answer 1

Explain :

1/3, 1/6 =

$\frac{1}{3} \frac{1}{6}$

LCM = 3x2 = 6

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

$\frac{1}{6} \times \frac{1}{1} = \frac{1}{6}$

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

II :-

1/6, 1/3 =

$\frac{1}{6} \frac{1}{3}$

LCM = 3x2 = 6

$\frac{1}{6} \times \frac{1}{1} = \frac{1}{6}$

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

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

So, 1/3 + 1/6 = 1/6 + 1/3