Question
Add the following rational numbers.
$\frac{5}{8}\ \text{and}\ \frac{-7}{12}$
$\frac{5}{8}\ \text{and}\ \frac{-7}{12}$
✓
Answer
The denominators of the given rational number are 8 and 12.
LCM of 8, 12 is 24
Now,
$\frac{5}{8}=\frac{5\times3}{8\times3}$
$=\frac{15}{24}$
and $\frac{-7}{12}=\frac{-7\times2}{12\times2}$
$=\frac{-14}{24}$
$\therefore\frac{5}{8}+\frac{-7}{12}$
$=\frac{15}{24}+\frac{-14}{24}$
$=\frac{15+(-14)}{24}$
$=\frac{15-14}{24}$
$=\frac{1}{24}$
LCM of 8, 12 is 24
Now,
$\frac{5}{8}=\frac{5\times3}{8\times3}$
$=\frac{15}{24}$
and $\frac{-7}{12}=\frac{-7\times2}{12\times2}$
$=\frac{-14}{24}$
$\therefore\frac{5}{8}+\frac{-7}{12}$
$=\frac{15}{24}+\frac{-14}{24}$
$=\frac{15+(-14)}{24}$
$=\frac{15-14}{24}$
$=\frac{1}{24}$
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