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Add. $\newline$ $\frac{3}{10} + \frac{1}{5}=$ _____

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Add and subtract rational numbers

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Q. Add.

\newline

\frac{3}{10} + \frac{1}{5}=

_____

Identify Common Denominator: Identify a common denominator for $\frac{3}{10}$ and $\frac{1}{5}$ . Both fractions can be expressed with a common denominator of $10$ , since $5$ is a factor of $10$ .
Convert to Denominator of $10$ : Convert $\frac{1}{5}$ to a fraction with a denominator of $10$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $\frac{1}{5} = \frac{(1\times2)}{(5\times2)} = \frac{2}{10}$
Add Fractions: Add the two fractions with the common denominator. $\newline$ $\frac{3}{10} + \frac{2}{10} = \frac{(3+2)}{10} = \frac{5}{10}$
Simplify Fraction: Simplify the fraction $\frac{5}{10}$ . $\frac{5}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $5$ . $\frac{5}{10} = \frac{(5/5)}{(10/5)} = \frac{1}{2}$

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