Answer: 212.5%
Step-by-step explanation: To convert [tex]2\frac{1}{8}[/tex] to a percent, we will first need to change [tex]2\frac{1}{8}[/tex] 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 → [tex]\frac{17}{8}[/tex]
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.
[tex]\frac{17}{8} = \frac{n}{100}[/tex]
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%.
