1.22222 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of these types. 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 instance, 1.22222. We are going to learn how to convert a decimal to a fraction.

1.22222 as a Fraction for US Students

What is 1.22222 as a Fraction?

$1.22222 as a fraction$

Answer

The answer for 1.22222 as a fraction will be 11/9.

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, 1.22222 has repeating 2s. Let's call x = 1.22222...

Step 2: Multiply both sides by a power of 10 that will move the decimal point to just after the first occurrence of the repeating part (in this case, multiply by 10): 10x = 12.22222...

Step 3: Subtract the original equation (x = 1.22222...) from this new equation: 10x - x = 12.22222... - 1.22222... This results in: 9x = 11

Step 4: Solve for x: x = 11/9

Thus, 1.22222 can be written as a fraction 11/9.

Important Glossaries for 1.22222 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.
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.