Question

What is 2 1/8 equivalent in %

Answer 1

Answer: 212.5%

Step-by-step explanation: To convert $2\frac{1}{8}$ to a percent, we will first need to change $2\frac{1}{8}$ 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 → $\frac{17}{8}$

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.

$\frac{17}{8} = \frac{n}{100}$

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%.