Question

complete the conversion.
1 pound = 16 ounces
$5\frac{1}{2}$ pounds = \boxed{} ounces

Explanation:

Step1: Convert mixed number to improper fraction

First, convert \(5\frac{1}{2}\) to an improper fraction. The formula for converting a mixed number \(a\frac{b}{c}\) to an improper fraction is \(\frac{a\times c + b}{c}\). For \(5\frac{1}{2}\), we have \(a = 5\), \(b = 1\), \(c = 2\). So, \(5\frac{1}{2}=\frac{5\times2 + 1}{2}=\frac{10 + 1}{2}=\frac{11}{2}\) pounds.

Step2: Multiply by conversion factor

We know that 1 pound = 16 ounces. To find the number of ounces in \(\frac{11}{2}\) pounds, we multiply the number of pounds by 16. So, \(\frac{11}{2}\times16\). We can simplify this by canceling out the 2 and 16: \(16\div2 = 8\), then \(11\times8 = 88\).

Answer:

88