Question

ken used $1\frac{3}{8}$ cups of walnuts and $1\frac{3}{4}$ cups of raisins to make trail mix. how many total cups of trail mix did he make?

Explanation:

Step1: Convert mixed numbers to improper fractions

First, convert \(1\frac{3}{8}\) and \(1\frac{3}{4}\) to improper fractions.
For \(1\frac{3}{8}\): \(1\frac{3}{8}=\frac{1\times8 + 3}{8}=\frac{11}{8}\)
For \(1\frac{3}{4}\): \(1\frac{3}{4}=\frac{1\times4+3}{4}=\frac{7}{4}\). Now, convert \(\frac{7}{4}\) to eighths to have a common denominator: \(\frac{7}{4}=\frac{7\times2}{4\times2}=\frac{14}{8}\)

Step2: Add the two fractions

Now add \(\frac{11}{8}\) and \(\frac{14}{8}\): \(\frac{11}{8}+\frac{14}{8}=\frac{11 + 14}{8}=\frac{25}{8}\)

Step3: Convert back to mixed number

Convert \(\frac{25}{8}\) back to a mixed number: \(\frac{25}{8}=3\frac{1}{8}\) (since \(25\div8 = 3\) with a remainder of \(1\))

Answer:

\(3\frac{1}{8}\) cups