Question

use the model to write the equation that represents the problem
i have one - half of a rectangle and i want to divide it by one - eighth. how many pieces would i have?
a $\frac{1}{2}div\frac{1}{8}=4$
b $\frac{1}{8}div\frac{1}{4}=2$
c $\frac{1}{2}div\frac{1}{8}=\frac{1}{16}$
d $\frac{6}{4}div\frac{3}{4}=\frac{2}{3}$

Explanation:

Step1: Analyze the division of fractions

When dividing by a fraction, we multiply by its reciprocal. The problem is \(\frac{1}{2}\div\frac{1}{8}\).

Step2: Apply the reciprocal rule

\(\frac{1}{2}\div\frac{1}{8}=\frac{1}{2}\times\frac{8}{1}\) (since the reciprocal of \(\frac{1}{8}\) is \(\frac{8}{1}\)).

Step3: Calculate the product

\(\frac{1\times8}{2\times1}=\frac{8}{2} = 4\)

Answer:

A. \(\frac{1}{2}\div\frac{1}{8}=4\)