3.83333333333 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. Fractions are one of these types. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), such as 3.83333333333. We are going to learn how to convert a decimal to a fraction.

What is 3.83333333333 as a Fraction?

$3.83333333333 as a fraction$ Answer

The answer for 3.83333333333 as a fraction is 115/30 or simplified as 23/6.

Explanation

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

Step 1: Firstly, separate the whole number from the decimal. Here, 3 is the whole number, and 0.83333333333 is the decimal part.

Step 2: Convert the repeating decimal to a fraction. Let x = 0.83333333333, then 10x = 8.3333333333. Subtracting these gives 9x = 7.5, so x = 7.5/9. Simplify this to get x = 5/6.

Step 3: Combine the whole number with the fraction: 3 + 5/6 = 18/6 + 5/6 = 23/6.

Thus, 3.83333333333 can be written as a fraction 23/6.

Important Glossaries for 3.83333333333 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.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.