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Add. $\newline$ $-\frac{7}{10} + \frac{3}{5} =$ _____

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Add and subtract rational numbers

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Q. Add.

\newline

-\frac{7}{10} + \frac{3}{5} =

_____

Convert fractions to common denominator: Convert fractions to have a common denominator. $\newline$ $-\frac{7}{10}$ and $\frac{3}{5}$ need a common denominator to add them. $\newline$ Least common denominator of $10$ and $5$ is $10$ . $\newline$ $-\frac{7}{10}$ stays the same. $\newline$ $\frac{3}{5}$ converts to $\frac{6}{10}$ by multiplying both numerator and denominator by $2$ .
Add the fractions: Add the fractions. $\newline$ Now, add $-\frac{7}{10}$ and $\frac{6}{10}$ . $\newline$ $-\frac{7}{10} + \frac{6}{10} = \frac{-7 + 6}{10} = -\frac{1}{10}$ .

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