Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. every week, a cat shelter requires 6\frac{1}{3} pounds of cat food. how many pounds do they use in one year? (there are 52 weeks in a year). simplify your answer and write it as a mixed number. \bigcirc 58\frac{1}{3} pounds \bigcirc \frac{988}{3} pounds \bigcirc 329\frac{1}{3} pounds \bigcirc 23\frac{2}{3} pounds

Explanation:

Step1: Convert mixed number to improper fraction

The weekly cat food requirement is \( 6\frac{1}{3} \) pounds. To convert this mixed number to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 6\frac{1}{3}=\frac{6\times3 + 1}{3}=\frac{19}{3} \) pounds per week.

Step2: Multiply by number of weeks in a year

There are 52 weeks in a year. So, the total cat food used in a year is \( \frac{19}{3}\times52 \). Calculate the product: \( \frac{19\times52}{3}=\frac{988}{3} \). Now, convert this improper fraction back to a mixed number. Divide 988 by 3: \( 988\div3 = 329 \) with a remainder of 1. So, \( \frac{988}{3}=329\frac{1}{3} \) pounds.

Answer:

C. \( 329\frac{1}{3} \) pounds