Question
Add the following rational numbers.
$0\ \text{and}\ \frac{-2}{5}$
$0\ \text{and}\ \frac{-2}{5}$
✓
Answer
We can write $0\ \text{as}\ \frac{0}{1}$
The denominators of the given rational number are 1 and 4.
LCM of 1 and 5 is 5, that is, (1 × 5)
Now,
$\frac{0}{1}=\frac{0\times5}{1\times5}$
$=\frac{0}{5}$
and $\frac{-2}{5}=\frac{-2\times1}{5\times1}$
$=\frac{-2}{5}$
$\therefore0+ \frac{(-2)}{5}$
$=\frac{0}{5}+\frac{(-2)}{5}$
$=\frac{0+(-2)}{5}$
$=\frac{0-2}{5}$
$=\frac{-2}{5}$
The denominators of the given rational number are 1 and 4.
LCM of 1 and 5 is 5, that is, (1 × 5)
Now,
$\frac{0}{1}=\frac{0\times5}{1\times5}$
$=\frac{0}{5}$
and $\frac{-2}{5}=\frac{-2\times1}{5\times1}$
$=\frac{-2}{5}$
$\therefore0+ \frac{(-2)}{5}$
$=\frac{0}{5}+\frac{(-2)}{5}$
$=\frac{0+(-2)}{5}$
$=\frac{0-2}{5}$
$=\frac{-2}{5}$
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