How do you divide 1/2 div 1/8?

Oct 20, 2016

$4$

Explanation:

To divide by a fraction:

Change the $\div$ to $\times$ and flip the fraction which follows.

This means " multiply by the reciprocal"

We see this in every day life where:

"dividing something by 2," is the same as finding "half of it"

$12 \div 2 = 12 \times \frac{1}{2} = \frac{1}{2} \times 12 = 6$

In this case we have:

$\frac{1}{2} \div \frac{1}{8}$

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

= $\frac{1}{\cancel{2}} \times {\cancel{8}}^{4} / 1$

=$4$

[This actually means there are 4 portions of $\frac{1}{8}$ each in $\frac{1}{2}$]