Question
Simplify: $\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$
✓
Answer
$\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$
$LCM$ of $39$ and $26 = 78$
$\begin{array}{c|c}13&39,26\\\hline&3,2\end{array}$
$\therefore\text{ LCM}=13\times3\times2=78$
$\frac{-11}{39}=\frac{-11\times2}{39\times2}=\frac{-22}{78}$
$\frac{5}{26}=\frac{5\times3}{26\times3}=\frac{15}{78}$
$\frac{2}{1}=\frac{2\times78}{1\times78}=\frac{156}{78}$
$\therefore\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$
$=\frac{-22}{78}+\frac{15}{78}+\frac{156}{78}$
$=\frac{-22+15+156}{78}$
$=\frac{-22+171}{78}$
$=\frac{149}{78}$
$LCM$ of $39$ and $26 = 78$
$\begin{array}{c|c}13&39,26\\\hline&3,2\end{array}$
$\therefore\text{ LCM}=13\times3\times2=78$
$\frac{-11}{39}=\frac{-11\times2}{39\times2}=\frac{-22}{78}$
$\frac{5}{26}=\frac{5\times3}{26\times3}=\frac{15}{78}$
$\frac{2}{1}=\frac{2\times78}{1\times78}=\frac{156}{78}$
$\therefore\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$
$=\frac{-22}{78}+\frac{15}{78}+\frac{156}{78}$
$=\frac{-22+15+156}{78}$
$=\frac{-22+171}{78}$
$=\frac{149}{78}$
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