3.125 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent whole and fractional parts. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal are expressed with a decimal point (.), such as 3.125. We are going to learn how to convert a decimal to a fraction.

What is 3.125 as a Fraction?

$3.125 as a fraction$

Answer

The answer for 3.125 as a fraction is 25/8.

Explanation

Converting a decimal 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 decimal number should be converted to a fraction for easy calculation. Here, 3.125 is the number on the numerator with the base number 1 as the denominator. Then, 3.125 becomes 3.125/1.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 3.125/1 × 1000/1000 = 3125/1000

Step 3: Here, 125 is the GCD of 3125 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 3125/1000 = 25/8 Hence, 3.125 in the form of a fraction is 25/8.

Thus, 3.125 can be written as the fraction 25/8.

Important Glossaries for 3.125 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and 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.
Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without leaving a remainder.