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:
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For \( \frac{2}{s} \): \[ \frac{2}{s} = \frac{2 \cdot 5}{s \cdot 5} = \frac{10}{5s} \]
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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.
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