Question

1. solve each.

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: Find common denominator (6)

$\frac{9}{2} = \frac{9\times3}{2\times3} = \frac{27}{6}$

Step3: Add the fractions

$\frac{27}{6} + \frac{1}{6} = \frac{27+1}{6} = \frac{28}{6}$

Step4: Simplify the fraction

$\frac{28}{6} = \frac{14}{3} = 4\frac{2}{3}$

Answer:

$4\frac{2}{3}$ (or $\frac{14}{3}$)