Question

or
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.