Question

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

Answer 1

i meant 3/10

Answer 2

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**.

Answer 3

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:
\[
\boxed{-\frac{3}{25}}
\]