Question

How do you convert 21.7% to a fraction in lowest terms?

Answer 1

I have deliberately gone the long way round to demonstrate a method that you can use on more complex questions. It is not really needed for this question.

`217/1000`

Explanation:

Note that `21.7%` is the same as `21.7/100`

Write as: `" "1/100xx21.7 " ...............Expression(1)"`

Lets get rid of the decimal

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way a number looks without changing its actual value.

`" "color(blue)([color(white)(./.)21.7color(magenta)(xx1)] ->[21.7color(magenta)(xx10/10)] = 271xx1/10)`

So write Expression(1) as:

`" "1/100xx217xx1/10`
`color(white)(.)`

`" "217/1000`