Question

Use properties of rational numbers to multiply the following.
-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. \(\frac{403}{192}\)**.