5.3333 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A fraction is one such type. 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. Numbers in decimal form are expressed with a decimal point (.), for example, 5.3333. We are going to learn how to convert a decimal to a fraction.

What is 5.3333 as a Fraction?

$5.3333 as a fraction$

Answer

The answer for 5.3333 as a fraction will be 16/3.

Explanation

Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be considered in the form of a fraction for easier calculation. Here, 5.3333 is the number with 1 as the initial denominator. Then, 5.3333 becomes 5.3333/1.

Step 2: To remove the decimal from a fraction, multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 5.3333/1 × 10000/10000 = 53333/10000

Step 3: Simplify the fraction by finding the GCD of 53333 and 10000, which is 3333. Divide the numerator and the denominator by 3333. 53333/10000 = 16/3

Thus, 5.3333 can be written as a fraction 16/3.

Important Glossaries for 5.3333 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.