5.3333333333 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, 5.3333333333, we are going to learn how to convert a decimal to a fraction.

5.3333333333 as a Fraction for US Students

What is 5.3333333333 as a Fraction?

$5.3333333333 as a fraction$

Answer

The answer for 5.3333333333 as a fraction is 16/3.

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: Identify the repeating part of the decimal. Here, 3 is repeating in 5.3333333333. Let's denote the number as x = 5.3333333333...

Step 2: Multiply x by 10 to move the repeating part: 10x = 53.3333333333...

Step 3: Subtract the original equation from this new equation: 10x - x = 53.3333333333... - 5.3333333333... This gives: 9x = 48

Step 4: Solve for x: x = 48/9

Step 5: Simplify the fraction: 48/9 = 16/3

Thus, 5.3333333333 can be written as the fraction 16/3.

Important Glossaries for 5.3333333333 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
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.
Simplifying: The process of reducing a fraction to its simplest form.