Question

How do you convert 47% to a decimal?

Answer 1

`0.47`

Explanation:

I will do one of them for you!

`color(brown)("This is more a teaching about percentage and decimals rather than")` `color(brown)("just focussing on answering the question.")`

The symbol % is like a unit of measurement but one that is worth `1/100`

So `47%->47xx%->47xx1/100=47/100`

Decimal structure is:

`"units"+1/10 's + 1/100'ths+1/1000'ths+.....`

Now consider the number 47. This is the same as `40+7`

However, we have 47% which is the same as `40/100+7/100`

which is the same as: `[(4xxcancel(10))/(10xxcancel(10))]+[7/100]`

`=4/10+7/100=0.47`