Simplify: $ \frac{8}{12}+\frac{8}{11} $

Given: $\frac{8}{12}+\frac{8}{11}$

To do: Simplify the given expression.

Solution:

Cancel $\frac{8}{12}: \quad \frac{2}{3}$

$\frac{8}{12}+\frac{8}{11}=\frac{2}{3}+\frac{8}{11}$

Least Common Multiplier of 3,11: 33

Adjust Fractions based on the LCM

$=\frac{22}{33}+\frac{24}{33}$

since the denominators are equal, combine the fractions:

$=\frac{22+24}{33}$

Add the numbers: $22+24=46$

$=\frac{46}{33}$

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Updated on: 10-Oct-2022

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