Question

How do you find fractional notation 37.5%?

Answer 1

`375/1000=3/8`

Explanation:

We can write `37.5%` as `0.375`.

Anything divided by 1 is itself. Combining this with the last observation, we can write:

`37.5%=0.375=(0.375)/1`

We can rewrite this to move the decimal point. We want it to move 3 places to the right, and so if we multiply the numerator by 1000, it'll move that three places. We also need to multiply the denominator by 1000 to keep the value of the fraction the same:

`0.375/1(1)=0.375/1(1000/1000)=375/1000`

So now we have a fraction and can technically stop there. But let's reduce the fraction to lowest terms:

`375/1000=(5xx75)/(5xx200)=(5xx5xx15)/(5xx5xx40)=(5xx5xx5xx3)/(5xx5xx5xx8)=cancel(5xx5xx5)/cancel(5xx5xx5)(3/8)=3/8`