8.3333 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type and is represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent both whole and fractional parts. Decimals express the fractional part of numbers. For example, 1/2 can be expressed as a decimal with a decimal point (.), like 8.3333. We are going to learn how to convert a decimal to a fraction.

8.3333 as a Fraction for US Students

What is 8.3333 as a Fraction?

$8.3333 as a fraction$

Answer

The answer for 8.3333 as a fraction is 25/3.

Explanation

Converting a decimal to a fraction is a straightforward task. You can follow the steps below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 8.3333 is the number with an implicit denominator of 1. So, it becomes 8.3333/1.

Step 2: To eliminate the decimal, multiply both the numerator and the denominator by 10000 (since there are four decimal places). 8.3333/1 × 10000/10000 = 83333/10000

Step 3: The GCD of 83333 and 10000 is 1. Since 83333 and 10000 have no common factors other than 1, the fraction can be simplified to 83333/10000 directly. However, 8.3333 can also be expressed as the mixed number 8 + 1/3, which leads to the improper fraction 25/3.

Thus, 8.3333 can be written as a fraction 25/3.

Important Glossaries for 8.3333 as a Fraction

Fraction: A numerical quantity that represents a part of a whole, expressed as a ratio of two numbers.
Decimal: A number expressed in the base-ten system, including a decimal point that separates the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are considered.
Denominator: The bottom part of a fraction, showing how many equal parts make up a whole.
Repeating Decimal: A decimal that has one or more repeating digits after the decimal point.