Question

Simplify the following fractions
3/5+6/7-5/8​

Answer 1

➤ Answer :-

First add the fractions...

$\longrightarrow \sf \: \frac{3}{5} + \frac{6}{7}$

LCM of 5 and 7 is 35.

$\longrightarrow \sf \: \frac{3 \times 7}{5 \times 7} + \frac{6 \times 5}{7 \times 5}$

$\longrightarrow \sf \: \frac{21}{35} + \frac{30}{35} = \frac{20 + 30}{35}$

$\longrightarrow \sf \: \frac{40}{35} = \frac{8}{7}$

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Now,

$\sf\longrightarrow\frac{8}{7} - \frac{5}{8}$

LCM of 8 and 7 is 56.

$\longrightarrow\sf\frac{8 \times 8}{7 \times 8} - \frac{5 \times 7}{8 \times 7}$

$\longrightarrow\sf\frac{64}{56} - \frac{35} {56}$

$\longrightarrow\sf\frac{64-35}{56}$

$\longrightarrow\sf\frac{29}{56}$

$\Huge\therefore$The answer is $\sf\frac{29}{56}$

Answer 2

3/5 + 6/7 - 5/8

= (168+280-175)/280

=273/280