Question
Add the following rational numbers:
$-3\text{ and }\frac{3}{5}$
$-3\text{ and }\frac{3}{5}$
✓
Answer
$\frac{-3}{1}\text{ and }\frac{3}{5}$
If $\frac{\text{p}}{\text{q}}$ and $\frac{\text{r}}{\text{s}}$ are two rational numbers such that q and s do not have a common factor.
$\frac{\text{p}}{\text{q}}+\frac{\text{r}}{\text{s}}=\frac{\text{p}\times\text{s}+\text{r}\times\text{q}}{\text{q}\times\text{s}}$
$\frac{3}{1}+\frac{3}{5}=\frac{5\times(-3)+(3)\times1}{5}$
$=\frac{-15+3}{5}$
$=\frac{-12}{5}$
If $\frac{\text{p}}{\text{q}}$ and $\frac{\text{r}}{\text{s}}$ are two rational numbers such that q and s do not have a common factor.
$\frac{\text{p}}{\text{q}}+\frac{\text{r}}{\text{s}}=\frac{\text{p}\times\text{s}+\text{r}\times\text{q}}{\text{q}\times\text{s}}$
$\frac{3}{1}+\frac{3}{5}=\frac{5\times(-3)+(3)\times1}{5}$
$=\frac{-15+3}{5}$
$=\frac{-12}{5}$
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