Question

perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction. \\(\frac{1}{10} - \frac{3}{10}\\)

Explanation:

Step1: Subtract numerators (same denominator)

Since the denominators are the same ($10$), we subtract the numerators: $1 - 3 = -2$. The denominator remains $10$, so we have $\frac{-2}{10}$.

Step2: Simplify the fraction

We divide both the numerator and the denominator by their greatest common divisor, which is $2$. So, $\frac{-2\div2}{10\div2}=\frac{-1}{5}$.

Answer:

$\boldsymbol{-\frac{1}{5}}$