Question

it takes 2 \\(\frac{2}{3}\\) bags of sugar to fill a canister. each bag contains \\(\frac{3}{4}\\) pound of sugar. how many pounds of sugar will it takes to fill the canister?
type your response in the box below.
\\(\square\\) pounds

Explanation:

Step1: Convert mixed number to improper fraction

The number of bags is \( 2\frac{2}{3} \). To convert this to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{6 + 2}{3}=\frac{8}{3} \).

Step2: Multiply by pounds per bag

Each bag has \( \frac{3}{4} \) pound of sugar. To find the total pounds, we multiply the number of bags (\( \frac{8}{3} \)) by the pounds per bag (\( \frac{3}{4} \)): \( \frac{8}{3}\times\frac{3}{4} \). The 3 in the numerator and denominator cancels out, leaving \( \frac{8}{4}=2 \).

Answer:

2