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#

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#
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Answer 2

To convert (21.7%) to a fraction in lowest terms, we first express (21.7%) as a fraction by dividing it by (100):

[ 21.7% = \frac{21.7}{100} ]

Next, to simplify the fraction, we find the greatest common divisor (GCD) of (21.7) and (100), which is (1). Since the GCD is (1), the fraction is already in its lowest terms.

So, (21.7%) as a fraction in lowest terms is (\frac{217}{1000}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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