Question

convert from pounds to ounces.
hint: there are 16 ounces in 1 pound.
5\frac{3}{4} pounds = \square ounces

Explanation:

Step1: Convert mixed number to improper fraction

The mixed number \( 5\frac{3}{4} \) can be converted 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 \( 5\frac{3}{4} \), we have \( a = 5 \), \( b = 3 \), \( c = 4 \). Then \( 5\times4 + 3 = 20 + 3 = 23 \), so \( 5\frac{3}{4}=\frac{23}{4} \) pounds.

Step2: Multiply by conversion factor

We know that 1 pound = 16 ounces. To convert pounds to ounces, we multiply the number of pounds by 16. So we calculate \( \frac{23}{4}\times16 \). First, \( 16\div4 = 4 \), then \( 23\times4 = 92 \).

Answer:

92