Convert 10.5% to a Fraction with Denominator 100: Step-by-Step

Question

Write the percentage 10.5% as a fraction with a denominator of 100.

Video Solution

Solution Steps

00:00 Convert from 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
00:20 This is the solution

Step-by-Step Solution

To solve this problem, we need to convert the percentage 10.5% into a fraction with a denominator of 100. We proceed as follows:

Step 1: Recognize that the formula for converting a percentage to a fraction involves placing the percentage number over 100. This is because a percentage is already a number out of 100.

Step 2: Apply the formula to convert 10.5% into a fraction:
We write 10.5% as 10.5100 \frac{10.5}{100} .

Step 3: Verify the result: The fraction 10.5100 \frac{10.5}{100} indeed has a denominator of 100, meeting the requirements specified in the problem.

Therefore, the percentage 10.5% expressed as a fraction with a denominator of 100 is 10.5100 \frac{10.5}{100} .

Answer

10.5100 \frac{10.5}{100}