Use properties of rational numbers to multiply the following.

Question

-13/3 x (-31/64)

A. 403/192

B. -925/192

C. 832/93

D. 403/67

Answer 1

To multiply the rational numbers \(-\frac{13}{3}\) and \(-\frac{31}{64}\), we follow these steps:

1. Multiply the numerators: \[ -13 \times -31 = 403 \]

2. Multiply the denominators: \[ 3 \times 64 = 192 \]

3. Combine the results: \[ -\frac{13}{3} \times -\frac{31}{64} = \frac{403}{192} \]

Thus, the answer is:

A. \(\frac{403}{192}\).