Question

Simplify....

4/5+6/7-8/9

Answer 1

➣ AnSwer :-

$\longrightarrow \sf \: \frac{4}{5} + \frac{6}{7} - \frac{8}{9}$

First we should do addition.....

$\longrightarrow \sf \: \frac{4}{5} + \frac{6}{7}$

LCM of 5 and 7 is 35.

$\longrightarrow \sf \: \frac{4 \times 7}{5 \times 7} + \frac{6 \times 5}{7 \times 5}$

$\longrightarrow \sf \: \frac{28}{35} + \frac{30}{35}$

$\longrightarrow \sf \: \frac{28 + 30}{35}$

$\longrightarrow \sf \: \frac{58}{35}$

Now,we should subtract $\sf\frac{8}{9}$from $\sf\frac{58}{35}$.

$\longrightarrow \sf \: \frac{58}{35} - \frac{8}{9}$

LCM of 35 and 9 is 315.

$\longrightarrow \sf \: \frac{58 \times 9}{35 \times 9} - \frac{8 \times 35}{9 \times 35}$

$\longrightarrow \sf \: \frac{522}{315} - \frac{280}{315}$

$\longrightarrow \sf \: \frac{522 - 280}{315}$

$\longrightarrow \sf \: \frac{242}{315}$

$\Huge\therefore$The answer is $\sf\frac{242}{315}$