Question

How do you convert `2/3` to a percentage?

Answer 1

A percent can be written as a fraction with a denominator of 100.

However, 3 is not a factor of 100.

Method 1

`2/3 xx100% = 200/3% = 66 2/3%`

The thirds are a problem because they end up as recurring decimals.

`1/3` is commonly given as `33 1/3 % or 33.3%`

`2/3" is commonly given as " 66 2/3% or 66.7%`

Method 2

`2/3 xx (33 1/3)/(33 1/3) = (66 2/3)/100 =66 2/3%`

Method 3

Do a division to get a decimal fraction.
`2/3 = 2div 3`

`2 div 3 = 0.66666666.....`

The first 2 decimal places represent hundredths

`0color(red)(.66)666666.... = (color(red)(66).6666666)/100 = color(red)(66).67%`

Hundredths are the same as a percent.