Question

1. solve each. show

a) $4\frac{1}{2} \div \frac{1}{8}$

Explanation:

Step1: Convert mixed number to improper fraction

$4\frac{1}{2} = \frac{(4\times2)+1}{2} = \frac{9}{2}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{9}{2} \div \frac{1}{8} = \frac{9}{2} \times 8$

Step3: Multiply numerators and denominators

$\frac{9 \times 8}{2} = \frac{72}{2}$

Step4: Simplify the fraction

$\frac{72}{2} = 36$

Answer:

36