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

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Add and subtract rational numbers

Full solution

Q. Subtract.

\newline

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

_____

Write with common denominator: Write the subtraction problem with a common denominator. $\newline$ $\frac{1}{10} - \frac{1}{2}$ $\newline$ To subtract fractions, they must have the same denominator. The least common denominator (LCD) for $10$ and $2$ is $10$ . $\newline$ $\frac{1}{10} - \left(\frac{1}{2}\right) \times \left(\frac{5}{5}\right) = \frac{1}{10} - \frac{5}{10}$
Perform subtraction: Perform the subtraction using the common denominator. $\newline$ Now that we have a common denominator, we can subtract the numerators. $\newline$ $\frac{1}{10} - \frac{5}{10} = \frac{(1 - 5)}{10} = \frac{-4}{10}$
Simplify fraction: Simplify the fraction, if possible. $\newline$ $-\frac{4}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $-\frac{4}{10} = \frac{-4}{2} / \frac{10}{2} = -\frac{2}{5}$

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