Question

Verify the following equality(-3/5+1/6)+9/10=-3/5+(1/6+9/10).

Answer 1

Hey mate have a look in the picture you will understand

Answer 2

Answer and explanation:

To find : Verify the following equality,

$(-\frac{3}{5}+\frac{1}{6})+\frac{9}{10}=-\frac{3}{5}+(\frac{1}{6}+\frac{9}{10})$

Solution :

Taking LHS,

$(-\frac{3}{5}+\frac{1}{6})+\frac{9}{10}$

$=\frac{-18+5}{30}+\frac{9}{10}$

$=\frac{-13}{30}+\frac{9}{10}$

$=\frac{-130+270}{300}$

$=\frac{140}{300}$

$=\frac{7}{15}$

Taking RHS,

$-\frac{3}{5}+(\frac{1}{6}+\frac{9}{10})$

$=-\frac{3}{5}+\frac{10+54}{60}$

$=-\frac{3}{5}+\frac{64}{60}$

$=\frac{-180+320}{300}$

$=\frac{140}{300}$

$=\frac{7}{15}$

LHS=RHS.

Hence proved.