Question
Simplify:
$-1+\frac{7}{9}+\frac{11}{12}$
$-1+\frac{7}{9}+\frac{11}{12}$
✓
Answer
$-1+\frac{7}{9}+\frac{11}{12}$ $\frac{7}{-9}=\frac{7\times(-1)}{-9\times(-1)}=\frac{-7}{9}$ LCM of 9 and 12 = 36 $\begin{array}{c|c}3&9,12\\\hline&3,4\end{array}$ $\text{LCM}=3\times3\times4=36$ $\frac{-1}{1}=\frac{-1\times36}{1\times36}=\frac{-36}{36}$ $\frac{-7}{9}=\frac{-7\times4}{9\times4}=\frac{-28}{36}$ $\frac{11}{12}=\frac{11\times3}{12\times3}=\frac{33}{36}$ $\therefore\frac{-1}{1}+\frac{-7}{9}+\frac{11}{12}$ $=\frac{-36}{36}+\frac{-28}{36}+\frac{33}{36}$ $=\frac{-36+(-28)+33}{36}$ $=\frac{-36-28+33}{36}$ $=\frac{-64+33}{36}$$=\frac{-31}{36}$
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