Question
Add the following rational numbers. $\frac{-5}{16}\ \text{and}\ \frac{7}{24}$
✓
Answer
The denominators of the given rational number are $16$ and $24.$
$LCM$ of $16, 24$ is $48$
Now,
$\frac{-5}{16}=\frac{-5\times3}{16\times3}$
$=\frac{-15}{48}$
and $\frac{7}{24}=\frac{7\times2}{24\times2}$
$=\frac{14}{48}$
$\therefore\frac{-5}{16}+\frac{7}{24}$
$=\frac{-15}{48}+\frac{14}{48}$
$=\frac{-15+14}{48}$
$=\frac{-1}{48}$
$LCM$ of $16, 24$ is $48$
Now,
$\frac{-5}{16}=\frac{-5\times3}{16\times3}$
$=\frac{-15}{48}$
and $\frac{7}{24}=\frac{7\times2}{24\times2}$
$=\frac{14}{48}$
$\therefore\frac{-5}{16}+\frac{7}{24}$
$=\frac{-15}{48}+\frac{14}{48}$
$=\frac{-15+14}{48}$
$=\frac{-1}{48}$
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