Question

How do you convert 9/10 into a decimal and percent?

Answer 1

Decimal`->0.9`

Percentage`->90%`

Explanation:

The format for decimals is:

`color(red)(" First decimal place")`
`" "color(red)(|)`
`" "color(red)(darr)`

`"units" color(red)(color(white)(.)+1/10)+1/100+1/1000+...` and so on
`" "color(red)(|)`
`" "color(red)(darr)`
`" "9/10`

So `9/10` is the same `0.9`
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Percent is a special fraction where the bottom number (denominator) is fixed at 100

We are given the fraction of `9/10`

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

`color(green)(9/10color(red)(xx1) " "=" "9/10color(red)(xx10/10)" "=" "(9xx10)/(10xx10)=90/100`

Write as: `90xx1/100` but `1/100` is the same as % so we have

`90/100=90xx1/100=90%`