6. Diana has \( 3 \frac{1}{4} \) bags of nuts. Each bag holds \( 4 \frac{1}{2} \) pounds. How many pounds of nuts does Diana have? Diana has pounds of nuts.

To find out how many pounds of nuts Diana has, we need to multiply the number of bags by the weight of each bag. First, convert \( 3 \frac{1}{4} \) to an improper fraction: \( 3 \frac{1}{4} = \frac{13}{4} \). Next, convert \( 4 \frac{1}{2} \) to an improper fraction as well: \( 4 \frac{1}{2} = \frac{9}{2} \). Now, multiply these two fractions: \[ \frac{13}{4} \times \frac{9}{2} = \frac{117}{8}. \] Finally, convert \( \frac{117}{8} \) back to a mixed number to find out how many pounds Diana has. Dividing, we get \( 14 \frac{5}{8} \) pounds. So, Diana has \( 14 \frac{5}{8} \) pounds of nuts. Diana has \( 14 \frac{5}{8} \) pounds of nuts.