Question

A sign in front of a roller coaster says you must be 40 inches tall to ride what percentage of the height is 34 inches?

Answer 1

34/40 = 85%

Explanation:

In a fraction, there are two primary elements: the numerator and the denominator. The numerator, which is the number above the line, reveals how many pieces there are present. The denominator, which is the number below the line, indicates how many pieces are required to make up a full number.

"Percent" means "per hundred," which implies we want to know how many parts of the total there are if there are 100 potential portions. This means that a percent is equivalent to displaying the numerator of a fraction if the denominator, or the number of pieces required to make up a whole, is 100.

For example, if we consider a percentage 40%, we have 40 pieces out of a potential 100. When we rewrite this in fraction form, we get 40/100.

To begin converting a fraction to a percentage, we must first alter the fraction such that the denominator is 100. To get started, we divide 100 by the denominator:

`(100)/(40)` = 2.5

This suggests that we must multiply the denominator by 85 in order to turn it to 100. However, we must additionally multiply the numerator by the same number:

`(34 x 2.5)/(40 x 2.5)` =
`(85)/(100)`

This works because multiplying both the numerator and denominator by the same integer is equivalent to multiplying by 1. (2.5 / 2.5 = 1)

After we have finished multiplying, we can see that 34/40 equals 85%.