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

1 Answer
Nov 10, 2016

Answer:

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#