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Add. $\newline$ $\frac{1}{10} + \frac{2}{5} =$ _____

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Add and subtract fractions

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Q. Add.

\newline

\frac{1}{10} + \frac{2}{5} =

_____

Find Common Denominator: Find a common denominator for the fractions $\frac{1}{10}$ and $\frac{2}{5}$ . The least common denominator between $10$ and $5$ is $10$ . $\frac{1}{10}$ remains as $\frac{1}{10}$ . $\frac{2}{5}$ needs to be converted to tenths: $\left(\frac{2}{5}\right) \times \left(\frac{2}{2}\right) = \frac{4}{10}.$
Add Fractions: Add the two fractions now that they have the same denominator. $\frac{1}{10} + \frac{4}{10} = \frac{5}{10}$ .
Simplify Fraction: Simplify the fraction $\frac{5}{10}$ to its lowest terms. $\newline$ $\frac{5}{10}$ can be simplified by dividing both the numerator and the denominator by $5$ . $\newline$ $\frac{5}{10} = \frac{1}{2}$ .

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