Question
Add the following rational numbers: $\frac{-7}{27}\text{ and }\frac{11}{18}$
✓
Answer
$\frac{-7}{27}\text{ and }\frac{11}{18}$
$LCM$ of $27$ and $18$ is $54$ $\frac{-7}{27}=\frac{-7\times2}{27\times2}=\frac{-14}{54}$
$\frac{11}{18}=\frac{11\times3}{18\times3}=\frac{33}{54}$
$\frac{-7}{27}+\frac{11}{18}=\frac{-14}{54}+\frac{33}{54}$
$=\frac{33-14}{54}$ $=\frac{19}{54}$
$LCM$ of $27$ and $18$ is $54$ $\frac{-7}{27}=\frac{-7\times2}{27\times2}=\frac{-14}{54}$
$\frac{11}{18}=\frac{11\times3}{18\times3}=\frac{33}{54}$
$\frac{-7}{27}+\frac{11}{18}=\frac{-14}{54}+\frac{33}{54}$
$=\frac{33-14}{54}$ $=\frac{19}{54}$
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