# How do you find the fraction notation and simplify 16.6%?

Jun 22, 2016

16.6%=83/500, this is roughly equal to $\frac{1}{6}$.

#### Explanation:

x% can be written in fraction notation as $\frac{x}{100}$

Hence 16.6%=16.6/100=166/1000=83/500

This is roughly equal to $\frac{1}{6}$ as

1/6=(83.33333333....)/500=16.666666.....%

Aug 26, 2016

16.667 = 16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6

#### Explanation:

I am making an assumption that this is meant to be $16. \dot{6}$, rather than 16.6 as given.

The percentage in this case would usually be given in a more accurate form of 16.7% or 16.67%, implying that it is a recurring decimal which has been rounded off.

The best way of giving it is 16 2/3% which is accurate.

This is one of the common percentages which is useful to know by heart.
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6

The other fractions in this family are:

2/6 = 1/3 = 33 1/3% = 0.333

3/6 = 1/2 = 50% = 0.5

4/6 = 2/3 = 66 2/3% = 0.667

5/6 = 83 1/3% = 0.833

Other common fractions are
1/4 = 25% = 0.25
3/4 = 75% = 0.75#

Aug 28, 2016

$\frac{83}{500}$

#### Explanation:

There are two ways of writing percentages. In sentences etc you would write 16.6% but for calculation you would write $\frac{16.6}{100}$

Not that $\frac{16.6}{100}$ is the same as $16.6 \div 100$

To get rid of the decimal point multiply both top (numerator) and bottom (denominator) by 10:

$\frac{16.6 \times 10}{100 \times 10} = \frac{166}{1000}$

Both numerator and denominator are even so divide both by 2

$\frac{166 \div 2}{1000 \div 2} = \frac{83}{500}$