0.222222222222222 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 (e.g., 0.222222222222222). We are going to learn how to convert a decimal to a fraction.

0.222222222222222 as a Fraction for US Students

What is 0.222222222222222 as a Fraction?

$0.222222222222222 as a fraction$

Answer

The answer for 0.222222222222222 as a fraction will be 2/9.

Explanation

Converting a repeating decimal to a fraction is a task for students that can be done with a systematic approach. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, let x equal the decimal number. x = 0.222222222222222...

Step 2: Since the decimal repeats every 1 digit, multiply x by 10 to shift the decimal point: 10x = 2.222222222222222...

Step 3: Subtract the original equation (x = 0.222222222222222...) from this new equation: 10x - x = 2.222222222222222... - 0.222222222222222...]

Step 4: Simplify: 9x = 2

Step 5: Solve for x: x = 2/9

Thus, 0.222222222222222 can be written as the fraction 2/9.

Important Glossaries for 0.222222222222222 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.