Question

What is 2 1/8 equivalent in %

Answer 1

Answer: 212.5%

Step-by-step explanation: To convert
`2(1)/(8)` to a percent, we will first need to change
`2(1)/(8)` to an improper fraction. To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator.

8 x 2 = 16

16 + 1 = 17

original denominator = 8.

Improper fraction →
`(17)/(8)`

Now, to convert a fraction to a percent, first remember that a percent is a ratio of a number to 100. If we want to convert 17/8 to a percent, we need to find a fraction equivalent to 17/8 that has a 100 in the denominator. We can do this by setting up a proportion.

`(17)/(8) = (n)/(100)`

Now, we can use cross products to find the missing value.

8n = 1700

÷8 ÷8 ← divide both sides by 8

n = 212.5

Therefore, 2 and 1/8 is equivalent to 212.5%.