Questions: Add. 1/10 + 1/5

Add.
1/10 + 1/5
Transcript text: Add. \[ \frac{1}{10}+\frac{1}{5} \]
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Solution

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Solution Steps

Step 1: Find the Least Common Denominator (LCD)

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.

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