18.3333333333 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. 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, 18.3333333333, we are going to learn how to convert a decimal to a fraction.

18.3333333333 as a Fraction for US Students

What is 18.3333333333 as a Fraction?

$18.3333333333 as a fraction$ Answer

The answer for 18.3333333333 as a fraction will be 55/3.

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: Firstly, separate the whole number part from the decimal part. Here, 18 is the whole number, and 0.3333333333 is the decimal part. The decimal part can be represented as a repeating decimal.

Step 2: To convert the repeating decimal 0.3333333333 to a fraction, let x = 0.3333333333. Multiply both sides by 10 to shift the decimal point: 10x = 3.3333333333.

Step 3: Subtract the original x from this equation: 10x - x = 3.3333333333 - 0.3333333333 9x = 3 x = 3/9 = 1/3y

Step 4: Now, combine the whole number and fractional part. The whole number 18 can be written as 54/3 to have a common denominator with 1/3.

Step 5: Add the fractions: 54/3 + 1/3 = 55/3

Thus, 18.3333333333 can be written as a fraction 55/3.

Important Glossaries for 18.3333333333 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.
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.