# Question #f972f

##### 1 Answer

One half of one fourth (which is one eighth) is the same as one fourth of one half (also one eighth).

#### Explanation:

a) See the picture below:

We start with **one fourth** (the blue shaded area in the first picture) and, after dividing it into two, we see that **one half** of that is **one eighth** (the blue shaded area in the second picture).

b) See the picture below:

We start with **one half** (the blue shaded area in the first picture) and, after dividing it into four, we see that **one fourth** of that is **one eighth** (the blue shaded area in the second picture).

This geometrical result can be verified by multiplying the respective fractions as well.

a) One half of one fourth:

b) One fourth of one half:

Hence, we see that from both the geometrical and arithmetical calculations the values of **one half of one fourth** and **one fourth of one half** are the same: **one eighth**.