0.22222 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, 0.22222, we are going to learn how to convert a decimal to a fraction.

0.22222 as a Fraction for US Students

What is 0.22222 as a Fraction?

$0.22222 as a Fraction$ Answer

The answer for 0.22222 as a fraction will be 2/9.

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, 0.22222 has a repeating decimal of 2, which is denoted as 0.2̅.

Step 2: Let x = 0.2̅.

Step 3: Multiply both sides by 10 to shift the decimal point: 10x = 2.2̅.

Step 4: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 2.2̅ - 0.2̅ 9x = 2

Step 5: Solve for x by dividing both sides by 9: x = 2/9

Thus, 0.22222 can be written as a fraction 2/9.

Important Glossaries for 0.22222 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 sequence of digits repeats indefinitely.
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.