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Add. $\newline$ $\frac{3}{10} + \frac{2}{5} =$ _____

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Add and subtract rational numbers

Full solution

Q. Add.

\newline

\frac{3}{10} + \frac{2}{5} =

_____

Identify common denominator: Identify a common denominator for $\frac{3}{10}$ and $\frac{2}{5}$ . Both fractions can be expressed with a common denominator of $10$ , since $5$ is a factor of $10$ . The fraction $\frac{2}{5}$ needs to be converted to have the denominator of $10$ .
Convert to denominator of $10$ : Convert $\frac{2}{5}$ to a fraction with a denominator of $10$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $\frac{2}{5} = \frac{(2\times2)}{(5\times2)} = \frac{4}{10}$
Add fractions with common denominator: Add the two fractions with the common denominator. $\newline$ Now that both fractions have the same denominator, you can add the numerators together. $\newline$ $\frac{3}{10} + \frac{4}{10} = \frac{(3+4)}{10} = \frac{7}{10}$

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