Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 31/0 . Write the answer in simplest form

3 answers

To multiply \(-\frac{2}{5}\) by \(\frac{31}{0}\), we first notice that \(\frac{31}{0}\) is undefined since division by zero is not possible.

Consequently, the product of \(-\frac{2}{5}\) and \(\frac{31}{0}\) is also undefined.

Thus, the answer is undefined.

i meant 3/10

Got it! Let's multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\).

Step 1: Multiply the numerators

\[ (-2) \times 3 = -6 \]

Step 2: Multiply the denominators

\[ 5 \times 10 = 50 \]

Step 3: Combine the results

\[ -\frac{6}{50} \]

Step 4: Simplify the fraction

To simplify \(-\frac{6}{50}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2: \[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]

Thus, the answer in simplest form is: \[ \boxed{-\frac{3}{25}} \]