77.5% as a Fraction

Answer

The answer for 77.5% as a fraction is 31/40.

Explanation

Converting a percentage to a fraction is a straightforward task. Follow the steps below to find the answer.

Step 1: Start by writing the percentage as a fraction with 100 as the denominator. Here, 77.5% becomes 77.5/100.

Step 2: Since 77.5 is a decimal, multiply both the numerator and the denominator by 10 to eliminate the decimal point. 77.5/100 × 10/10 = 775/1000

Step 3: Now, find the greatest common divisor (GCD) of 775 and 1000, which is 25. Simplify the fraction by dividing both the numerator and the denominator by the GCD. 775/1000 = 31/40

Thus, 77.5% can be written as the fraction 31/40.

• 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, denoted by the symbol %.

• 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.

• Greatest Common Divisor (GCD): The largest number that divides two or more numbers without leaving a remainder.