Question

How do you write 3/5 as a percent?

Answer 1

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as `x/100`.

We can then rewrite this as:

`3/5 = x/100`

`color(red)(100) * 3/5 = color(red)(100) * x/100`

`300/5 = cancel(color(red)(100)) * x/color(red)(cancel(color(black)(100)))`

`60 = x`

`x = 60`

`3/5 = 60/100 = 60%`

Answer 2

`60%`

Explanation:

To write a fraction as a percent:

`"fraction" xx 100% larr "100%=100/100 =1`

`=3/5 xx 100%`

`=(3/cancel5 xx cancel100^20)%`

`=60%`

Answer 3

Slightly different way of thinking about it!

60% or `60/100`

Explanation:

`color(blue)("Preamble")`

A percentage is basically just another fraction. However it is of specific format in that the bottom number (denominator) is 'fixed' at 100

If you like; the % symbol can be compared to the function of a unit of measurement. Just as a unit of measurement is specific in what it means then so is %. It means `1/100`

So for example: `2%color(white)("d")->color(white)("d") 2xx%color(white)("d")->color(white)("d")2xx1/100color(white)("d")->color(white)("d")2/100`

Note that the multiply sign is a bit like the word 'of'.

In that for example: 2 of 6 is `6+6 =2xx6=12`

so 2% is 2 of percent `->1/100+1/100 =2xx1/100=2/100`
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`color(blue)("Answering your question")`

Given: `3/5`

We need to change this in such a way that the actual value is the same but it looks different. In that the bottom number becomes 100.

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

`color(green)(3/5color(red)(xx1)color(white)("dd")->color(white)("ddd")3/5color(red)(xx20/20))`

`color(white)("ddddddd")->color(white)("ddd")(3xx20)/(5xx20)`

`color(white)("ddddddd")->color(white)("dddd")60/100`
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This is the same as

`60xx1/100color(white)("d")->color(white)("d")60xx%color(white)("d")->60%`