Question

ryan added $1\frac{3}{5}$ cups of yellow raisins and $2\frac{1}{2}$ cups of black raisins to a batch of trail mix. how many cups of raisins did ryan add in all? \boxed{\

$$\begin{array}{c}\\ \\ \\square\\\\\\square\\frac{\\square}{\\square}\\\\ \\ \\ \\square\\end{array}$$

} cups \boxed{\

$$\begin{array}{c}\\ \\ \\square\\\\\\square\\frac{\\square}{\\square}\\\\ \\ \\ \\square\\end{array}$$

} mixed number \boxed{\

$$\begin{array}{c}\\ \\ \\square\\\\\\frac{\\square}{\\square}\\\\ \\ \\ \\square\\end{array}$$

} fraction \boxed{\

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} whole number

Explanation:

Step1: Convert mixed numbers to improper fractions

$1\frac{3}{5} = \frac{8}{5}$, $2\frac{1}{2} = \frac{5}{2}$

Step2: Find common denominator (10)

$\frac{8}{5} = \frac{16}{10}$, $\frac{5}{2} = \frac{25}{10}$

Step3: Add fractions

$\frac{16}{10} + \frac{25}{10} = \frac{41}{10}$

Step4: Convert to mixed number

$\frac{41}{10} = 4\frac{1}{10}$

Answer:

$3\frac{11}{10}$ cups (or simplified as $4\frac{1}{10}$ cups)