or

Question

Simplify. Express your answer as a single fraction in simplest form.
2
s
+
t
5

Answer 1

To simplify the expression $\frac{2}{s}+\frac{t}{5}$, we need to find a common denominator.

The common denominator for $s$ and $5$ is $5s$. Now we will rewrite each fraction with this common denominator:

1. For $\frac{2}{s}$: $$\frac{2}{s}=\frac{2\cdot 5}{s\cdot 5}=\frac{10}{5s}$$

2. For $\frac{t}{5}$: $$\frac{t}{5}=\frac{t\cdot s}{5\cdot s}=\frac{ts}{5s}$$

Now we can add the two fractions: $$\frac{10}{5s}+\frac{ts}{5s}=\frac{10+ts}{5s}$$

Thus, the simplified expression is: $$\frac{10+ts}{5s}$$

This fraction is already in simplest form.