87.5% as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of its kinds. It is 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. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 87.5%, we are going to learn how to convert a percentage to a fraction.

87.5% as a Fraction for US Students

What is 87.5% as a Fraction?

$87.5% as a fraction$ Answer

The answer for 87.5% as a fraction will be 7/8.

Explanation

Converting a percentage to a fraction is a task for students 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 fraction for easy calculation. Here, 87.5% is the number, and to convert it to a fraction, divide by 100. Then, 87.5% becomes 87.5/100.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 87.5/100 × 10/10 = 875/1000

Step 3: Here, 125 is the GCD of 875 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 875/1000 = 7/8 Hence, 87.5% is in the form of a fraction as 7/8.

Thus, 87.5% can be written as a fraction 7/8.

Important Glossaries for 87.5% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A way of expressing numbers as a fraction of 100.
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.
GCD: The greatest common divisor, the largest number that divides two or more numbers without leaving a remainder.