Convert 24/25 to Percentage: Exact Fraction Conversion Problem

Question

Calculate 24 out of 25 as a percentage:

Video Solution

Solution Steps

00:00 Calculate 24 as a percentage of 25
00:04 Apply the formula to calculate percentages
00:09 Divide the first number by the second number and proceed to multiply by 100
00:20 Break down into factors and reduce wherever possible
00:29 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given values
  • Step 2: Use the percentage formula
  • Step 3: Calculate the result

Now, let's work through each step:
Step 1: The problem gives us that we have 24 out of a total of 25.
Step 2: We'll use the formula for converting a fraction to a percentage: partwhole×100%\frac{\text{part}}{\text{whole}} \times 100\%. In this case, the part is 24 and the whole is 25.
Step 3: Plugging in our values, we get 2425×100%=0.96×100%=96%\frac{24}{25} \times 100\% = 0.96 \times 100\% = 96\%.

The fraction 24 out of 25 equals 96% when expressed as a percentage, which corresponds to choice 1.

Answer

96%