3.875 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 is a fraction, while numbers in decimal are expressed with a decimal point (.), for example, 3.875. We are going to learn how to convert a decimal to a fraction.

3.875 as a Fraction for US Students

What is 3.875 as a Fraction?

$3.875 as a fraction$

Answer

The answer for 3.875 as a fraction will be 31/8.

Explanation

Converting a decimal to a fraction is a task that can be done easily by following these steps.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 3.875 is the number on the numerator and the base number 1 will be the denominator. Then, 3.875 becomes 3.875/1.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 3.875/1 × 1000/1000 = 3875/1000

Step 3: Here, 125 is the GCD of 3875 and 1000. To make the fraction simpler, divide the numerator and the denominator by 125. 3875/1000 = 31/8

Thus, 3.875 can be written as a fraction 31/8.

Important Glossaries for 3.875 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.