# What is half of 1/3 cup?

Sep 8, 2015

Have a look:

#### Explanation:

This is a very nice question...!
The straight forward answer is $\frac{1}{2} \left(\frac{1}{3}\right) = \frac{1}{6}$cup...but visually you can consider that:

hope it is not confusing!

Jun 6, 2017

$\frac{1}{6}$

#### Explanation:

Half of $\frac{1}{3}$ of a cup can also be said as $\frac{1}{3}$ divided by $2$

It is easier to divide by $2$ if we have an even number.

Write $\frac{1}{3}$ as an equivalent fraction with an even numerator:

$\frac{1}{3} = \frac{2}{6} = \frac{4}{12} = \frac{6}{18.} . .$ and so on.

These fractions can now be easily divided by $2$

Half of $\frac{2}{6}$ is equal to $\frac{1}{6}$

Half of $\frac{4}{12}$ is equal to $\frac{2}{12} = \frac{1}{6}$

Half of $\frac{6}{18}$ is equal to $\frac{3}{18} = \frac{1}{6}$

Or we could do it by a maths technique:

$\frac{1}{3} \div \frac{2}{1}$
$= \frac{1}{3} \times \frac{1}{2}$
$= \frac{1}{6}$