Question

The fires in Yellowstone National Park in 1988 burned 7 acres. The park has 2.2 million acres total. What percentage of the park burned?

Answer 1

As a percentage we have `0.000318%` to 6 decimal places

Which is `7/22000%` as an exact value

Explanation:

Let the unknown count for percent be `x`

2.2 Million = 2200000

Using ratio

`7/2200000 -= x/100`

To maintain proportion in ratios what you do to the bottom you also do to the top (for multiply and divide).

Objective is to tern 2200000 into 100

`(7-:22)/(2200000 -:22) = (7-:22)/100000-= x/100`

`(7-:22-:1000)/( 100000 -:1000 ) = (7-:22-:1000)/100= x/100`

`x=7xx1/22xx1/1000 = 7 /22000`

`x=(0.3181818...)/1000 = 0.0003181818...`

As a percentage we have `0.000318%` to 6 decimal places

Which is `7/22000%` as an exact value