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Subtract. $\newline$ $\frac{1}{10} - \frac{2}{5} =$ _____

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Add and subtract rational numbers

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Q. Subtract.

\newline

\frac{1}{10} - \frac{2}{5} =

_____

Write Common Denominator: Write the subtraction problem with a common denominator. $\newline$ To subtract fractions, they must have the same denominator. The fractions $\frac{1}{10}$ and $\frac{2}{5}$ do not have the same denominator, so we need to find a common denominator. The least common denominator (LCD) for $10$ and $5$ is $10$ . $\newline$ $\frac{1}{10} - \frac{2}{5}$ $\newline$ We need to convert $\frac{2}{5}$ to a fraction with a denominator of $10$ . To do this, we multiply both the numerator and the denominator by $2$ . $\newline$ $\frac{2}{5} = \left(\frac{2 \times 2}{5 \times 2}\right) = \frac{4}{10}$ $\newline$ Now we can rewrite the subtraction problem with the common denominator: $\newline$ $\frac{2}{5}$ $0$
Subtract Numerators: Subtract the numerators and write the result over the common denominator. $\newline$ Now that we have a common denominator, we can subtract the numerators: $\newline$ $\frac{1}{10} - \frac{4}{10} = \frac{(1 - 4)}{10} = -\frac{3}{10}$
Simplify Result: Simplify the result, if necessary. $\newline$ The fraction $-\frac{3}{10}$ is already in its simplest form, so no further simplification is needed.

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