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

1 Answer
Apr 27, 2017

Answer:

As a fraction this is #5/9#

As a decimal this is #0.5bar5#

As a ratio this is #5:4#

Explanation:

The wording 'out of' means that the 5 is part of the 9, where 9 represents the whole (all of it)

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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.
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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#