Question

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

Explanation:

Step1: Subtract numerators (same denominator)

For fractions with the same denominator, we subtract the numerators. So, $\frac{1}{10} - \frac{3}{10} = \frac{1 - 3}{10}$.

Step2: Simplify the numerator

Calculate $1 - 3 = -2$, so we have $\frac{-2}{10}$.

Step3: Reduce the fraction

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:

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