Question

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

Answer 1

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`