Question

lucy made 1 3/4 pounds of trail mix. if she puts 1/4 of a pound into each bag, how many bags can lucy fill? simplify your answer and write it as a fraction or as a whole or mixed number. \boxed{} bags submit

Explanation:

Step1: Convert mixed number to improper fraction

First, convert \(1\frac{3}{4}\) to an improper fraction. The formula for converting a mixed number \(a\frac{b}{c}\) to an improper fraction is \(\frac{a\times c + b}{c}\). So for \(1\frac{3}{4}\), we have \(a = 1\), \(b = 3\), \(c = 4\). Then \(\frac{1\times4 + 3}{4}=\frac{4 + 3}{4}=\frac{7}{4}\).

Step2: Divide total amount by amount per bag

To find the number of bags, we divide the total amount of trail mix (\(\frac{7}{4}\) pounds) by the amount per bag (\(\frac{1}{4}\) pound). When dividing fractions, we multiply by the reciprocal. So \(\frac{7}{4}\div\frac{1}{4}=\frac{7}{4}\times\frac{4}{1}\). The 4 in the numerator and denominator cancels out, leaving \(7\).

Answer:

\(7\)