82.5% as a Fraction

Answer

The answer for 82.5% as a fraction will be 33/40.

Explanation

Converting a percentage to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any percentage should be converted to a decimal by dividing by 100. Here, 82.5% becomes 0.825.

Step 2: Next, convert the decimal to a fraction. 0.825 becomes 0.825/1.

Step 3: To remove the decimal, multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 0.825/1 × 1000/1000 = 825/1000

Step 4: Here, 25 is the GCD of 825 and 1000. Now, to make the fraction simpler, divide the numerator and the denominator by 25. 825/1000 = 33/40

Thus, 82.5% can be written as the fraction 33/40.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Percentage: A way of expressing a number as a fraction of 100.
   
• Decimal: A number that includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.