To add the fractions \(\frac{1}{10} + \frac{1}{5}\), we first find the least common denominator (LCD) of \(10\) and \(5\), which is \(10\).
Step 2: Convert Fractions to Equivalent Fractions with the LCD
We convert \(\frac{1}{10}\) to \(\frac{1}{10}\) and \(\frac{1}{5}\) to \(\frac{2}{10}\) by multiplying both the numerator and denominator by the appropriate factors.
Step 3: Add the Numerators
Next, we add the numerators of the equivalent fractions to get \(\frac{3}{10}\).
Step 4: Simplify the Result
Finally, we simplify the fraction \(\frac{3}{10}\) to \(\frac{3}{10}\) by dividing both the numerator and denominator by their greatest common divisor, which is \(1\).
Final Answer: The sum of the fractions is approximately \(\frac{3}{10}\) or 0.3 when rounded to 2 decimal places.