Question

prove that 1/3+1/6=1/6+1/3​

Answer 1

Answer:

3/6=3/6

Step-by-step explanation:

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

=LCM of 6 and 3 is 6

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

=3/6=3/6

HENCE , it is proved

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Answer 2

We have to prove: $\frac{1}{3}+\frac{1}{6} = \frac{1}{6}+\frac{1}{3}$

We first take $L.H.S$ and solve it and then solve $R.H.S$ and then we compare.

$L.H.S=\frac{1}{3}+\frac{1}{6}$

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

$=\frac{3}{6}$

$=\frac{1}{2}$

$R.H.S= \frac{1}{6}+\frac{1}{3}$

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

$=\frac{3}{6}$

$=\frac{1}{2}$

$L.H.S=R.H.S$

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

Proved.