5.333333333 as a Fraction

Professor Greenline Explaining Math Concepts

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. 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, 5.333333333, we are going to learn how to convert a decimal to a fraction.

5.333333333 as a Fraction for US Students

What is 5.333333333 as a Fraction?

$5.333333333 as a fraction$

Answer

The answer for 5.333333333 as a fraction will be 16/3.

Explanation

Converting a decimal to a fraction involves recognizing repeating patterns and simplifying. You can follow the steps mentioned below to find the answer.

Step 1: Identify the repeating part of the decimal. Here, 5.333333333 can be expressed as 5 + 0.333333333... where 3 repeats.

Step 2: Let x = 0.333333333... Now multiply both sides by 10 to shift the decimal point: 10x = 3.333333333...

Step 3: Subtract the original equation from this new equation: 10x - x = 3.333333333... - 0.333333333..., which simplifies to 9x = 3.

Step 4: Solve for x: x = 3/9, which simplifies to x = 1/3. Therefore, 5.333333333 = 5 + 1/3 = 16/3.

Thus, 5.333333333 can be written as a fraction 16/3.

Important Glossaries for 5.333333333 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.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
Simplification: The process of reducing a fraction to its smallest terms.
Mixed Number: A number consisting of an integer and a proper fraction.