Question
Add the following rational number:
$-3$ and $\frac{3}{5}$
$-3$ and $\frac{3}{5}$
✓
Answer
$-3$ and $\frac{3}{5}$
$=\frac{-3}{1}+\frac{3}{5}$
The LCM of the denominators 1 and 5 is 5.
Now,
we will express $\frac{-3}{1}$ in the form in which it taken denominator as 5.
$\frac{-3}{1}=\frac{-3\times5}{1\times5}=\frac{-15}{5}$
So,
$\frac{15}{5}+\frac{3}{5}$
$=\frac{-15+3}{5}=\frac{-12}{5}$
$=\frac{-3}{1}+\frac{3}{5}$
The LCM of the denominators 1 and 5 is 5.
Now,
we will express $\frac{-3}{1}$ in the form in which it taken denominator as 5.
$\frac{-3}{1}=\frac{-3\times5}{1\times5}=\frac{-15}{5}$
So,
$\frac{15}{5}+\frac{3}{5}$
$=\frac{-15+3}{5}=\frac{-12}{5}$
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