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Subtract. $\newline$ $\frac{3}{10} - \frac{2}{5} =$ _____

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Add and subtract rational numbers

Full solution

Q. Subtract.

\newline

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

_____

Write Subtraction Problem: Write the subtraction problem with a common denominator. $\newline$ $\frac{3}{10} - \frac{2}{5}$ $\newline$ Since the denominators are different, we need to find a common denominator. The least common denominator (LCD) for $10$ and $5$ is $10$ . $\newline$ $\frac{2}{5}$ can be converted to $\frac{4}{10}$ by multiplying both the numerator and the denominator by $2$ . $\newline$ $\frac{3}{10} - \frac{2}{5} = \frac{3}{10} - \frac{4}{10}$
Find Common Denominator: Subtract the numerators and write the result over the common denominator. $\newline$ $\frac{3}{10} - \frac{4}{10} = \frac{(3 - 4)}{10}$ $\newline$ $3 - 4 = -1$ $\newline$ So, $\frac{3}{10} - \frac{4}{10} = \frac{-1}{10}$
Subtract Numerators: Simplify the fraction if necessary. $\newline$ In this case, $-\frac{1}{10}$ is already in its simplest form.

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