# What is 1/6 of 80?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/6 of 80? We'll show you a straightforward method to achieve that.

## How to calculate 1/6 of 80?

- Multiply the whole number by the numerator of the fraction: 80 × 1 = 80
- Divide this result by denominator of the fraction: 80/6 =
**13.333333333333** - Simplify by dividing both the numerator and denominator by their GCD (2):
- 80/2 = 40
- 6/2 = 3

- Which gives:
**40/3**

Since 40/3 is an improper fraction, the result could also be expressed as a mixed number: **13 1/3**

## How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 80, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{6}=\frac{x}{80}$ (where `x` represents 1/6 of 80)

- Using the cross-multiplication method, multiply both numerators by their opposite denominators: $1\times 80=6x$
- Which gives: $80=6x$
- Divide both sides by 6 to isolate
`x`: $\frac{80}{6}=\frac{6x}{6}$ - Which gives the result: $\frac{80}{6}=x$ (or $\frac{40}{3}=x$)

Thus, 1/6 of 80 is equal to **40/3** (or 13.333333333333 in its decimal form).