Convert 118% to a Fraction with Denominator 100: Step-by-Step

Question

Write the percentage 118% as a fraction with a denominator of 100.

Video Solution

Solution Steps

00:00 Convert percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:23 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow a simple conversion:

  • Step 1: Recognize that a percentage represents a number out of 100. Thus, 118% is equivalent to 118 out of 100.
  • Step 2: Apply the conversion formula: Percentage=Percentage number100 \text{Percentage} = \frac{\text{Percentage number}}{100} .
  • Step 3: Directly convert 118% into a fraction using this formula: 118100\frac{118}{100}.

Since the problem asks for the fraction with a denominator of 100, we have arrived at the correct form.

Therefore, the fraction form of 118% with a denominator of 100 is 118100\frac{118}{100}.

Answer

118100 \frac{118}{100}