Solve the following$\frac{5}{7}+\frac{2}{11}+\frac{-8}{7}+\frac{6}{11} $
Given: $\frac{5}{7}+\frac{2}{11}+\frac{-8}{7}+\frac{6}{11} $
To do: Solve the expression denominators are different, to make the same,
take LCM,
LCM of 7 and 11 is 77
$\frac{5\times11}{ 7\times11} + \frac{2\times7}{ 11\times7} - \frac{8\times11}{ 7\times11} + \frac{6\times7}{ 11\times7}$
$\frac{55}{77} + \frac{14}{77} - \frac{88}{77} + \frac{42}{77}$
Now the denominators are same, so add the numerators directly,
$55 + 14 - 88 + \frac{42}{77}$
$\frac{111 - 88}{ 77}$
So, the value of the expression is $\frac{23}{ 77}$ .
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