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How do you convert the following phrases into math expressions, and then evaluate the expressions: 5 out of 9?

Answer 1

Hazel Anglin

As a fraction this is #5/9#

As a decimal this is #0.5bar5#

As a ratio this is #5:4#

The 'out of' in the phrase indicates that the 5 is a component of the 9, and the 9 stands for the entirety.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ So as a fraction we have: #5/9#

and as a decimal this is # 5-:9 =0.55555...-> 0.5bar5#

where the bar over the last 5 means that it is repeated for ever. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ As a ratio we have a relationship or proportion between the 5 and whatever is left after extracting the 5. Which is #9-5=4#

So as a ratio we have #5:4#

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Answer 2

Avery Alexander

To convert the phrase "5 out of 9" into a math expression, you would write it as ( \frac{5}{9} ). To evaluate the expression, you simply divide 5 by 9, which equals approximately 0.5556 when rounded to four decimal places.

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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.