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102 LearnersLast updated on March 26th, 2025
77.5% as a Fraction
Numbers can be categorized into different types. A fraction is one such type, always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Percentages are another way to represent numbers, indicating parts per hundred. For example, 50% is equal to 1/2. In this guide, we will learn how to convert a percentage into a fraction.
What is 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.
Important Glossaries for 77.5% as a Fraction
- 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.
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