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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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