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

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

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Answer 1 · 2016-11-10T10:23:07

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.

$\frac{217}{1000}$ $217/1000$

Explanation:

Note that $21.7 %$ $21.7%$ is the same as $\frac{21.7}{100}$ $21.7/100$

Write as: $\frac{1}{100} \times 21.7 ...............Expression(1)$ $" "1/100xx21.7 " ...............Expression(1)"$

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.

$[\frac{.}{.} 21.7 \times 1] \to [21.7 \times \frac{10}{10}] = 271 \times \frac{1}{10}$ $" "color(blue)([color(white)(./.)21.7color(magenta)(xx1)] ->[21.7color(magenta)(xx10/10)] = 271xx1/10)$

So write Expression(1) as:

$\frac{1}{100} \times 217 \times \frac{1}{10}$ $" "1/100xx217xx1/10$
$.$ $color(white)(.)$

$\frac{217}{1000}$ $" "217/1000$

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

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