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Subtract. $\newline$ $\frac{3}{10} - \frac{1}{2} =$ _____

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Add and subtract rational numbers

Full solution

Q. Subtract.

\newline

\frac{3}{10} - \frac{1}{2} =

_____

Convert to fraction: Convert $\frac{1}{2}$ to a fraction with a denominator of $10$ to match the denominator of $\frac{3}{10}$ . $\newline$ $\frac{1}{2} = \frac{5}{10}$ because $1 \times 5 = 5$ and $2 \times 5 = 10$ .
Subtract fractions: Subtract $\frac{5}{10}$ from $\frac{3}{10}$ . $\newline$ $\frac{3}{10} - \frac{5}{10} = \frac{(3-5)}{10}$ $\newline$ $\frac{3}{10} - \frac{5}{10} = \frac{-2}{10}$
Simplify fraction: Simplify $-\frac{2}{10}$ . $-\frac{2}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $-\frac{2}{10} = \frac{-2}{2} / \frac{10}{2}$ $-\frac{2}{10} = -\frac{1}{5}$

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