Jeffrey orders 16 quesadillas for a party. There are \( 3 \frac{5}{8} \) quesadillas left after the party. How many quesadillas are eaten?
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To find out how many quesadillas were eaten, we start by determining how many were consumed from the original order. Jeffrey ordered 16 quesadillas and after the party, there were \( 3 \frac{5}{8} \) quesadillas left. First, convert \( 3 \frac{5}{8} \) to an improper fraction: \( 3 \frac{5}{8} = \frac{3 \times 8 + 5}{8} = \frac{24 + 5}{8} = \frac{29}{8} \). Next, we need to convert 16 into a fraction that has the same denominator of 8: \( 16 = \frac{16 \times 8}{8} = \frac{128}{8} \). Now we can calculate the number of quesadillas eaten: \( \text{Quesadillas eaten} = 16 - \frac{29}{8} = \frac{128}{8} - \frac{29}{8} = \frac{128 - 29}{8} = \frac{99}{8} \). This can also be expressed as a mixed number: \( \frac{99}{8} = 12 \frac{3}{8} \). So, the total number of quesadillas eaten is \( 12 \frac{3}{8} \).