Question

How do you convert 7/25 to a percent?

Answer 1

`28%`

Explanation:

`color(blue)("Preamble")`

There are 2 things that are important:

Percentage is just a particular way of writing fractions. It is special in that the denominator(bottom number) is always fixed at 100.

The symbol % may be viewed as like a unit of measurement but one that is worth `1/100`. So for example `20%-> 20xx1/100=20/100`
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`color(blue)("Answering the question")`

Let the unknown value be `x`

`7/25-=x/100` where the `-=` means 'equivalent to'.

To get `x` on its own multiply both sides by 100

`color(green)(7/25color(red)(xx100)=x/100color(red)(xx100))`

`7xx100/25=x xx100/100`

`7xx4=x xx1`

`x=28`

But this is the top number (numerator) of `28/100`

`=28xx1/100" "=" "28xx%" "=" "28%`