Question

How do you convert 95/1000 into a percent and decimal?

Answer 1

Percent: `9.5%`
Decimal: `0.095`

Explanation:

To convert `95/1000` into a percent, we need to make the denominator equal to `100`.

We can do this by dividing both sides by `10`. We get `9.5/100`, which is equivelant to `9.5%`.

To make this a decimal, we can move the decimal point left two times:

`9.5` turns into `0.095`

Answer 2

`95/1000 = 0.095`

`95/100=9.5%`

Explanation:

`color(blue)("Fraction to decimal")`

`0.1 ->1/10`
`0.01->color(red)(1/100" "larr" percent")`
`0.001->color(blue)(1/1000" "larr" 95 of these as a decimal")`
`" "uarr`
`" "`3rd zero---------------3 rd decimal place----------
`" "darr`
But we have 95 of them so this is 95 of `0.001color(blue)( ->0.095)`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Fraction to percentage")`

Percent basically means 'for each 100'

We are given`95/1000` so if we can change the 1000 into 100 and apply the same process to the 95 we have our answer.

To change `1000` into `100` divide by 10

For multiply or divide, what you so to the bottom of a fraction ( denominator) you also do to the top (numerator)

`(95-:10)/(1000-:10) = color(red)(9.5/100)`

Another way of writing this is `color(red)(9.5%)`