2.22222222222 as a Fraction

Answer

The answer for 2.22222222222 as a fraction will be 20/9.

Explanation

Converting a repeating decimal to a fraction can be done through a systematic approach. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 2.22222222222...

Step 2: Identify the repeating part. Here, the digit 2 repeats.

Step 3: Multiply x by 10 to shift one complete cycle of the repeating part: 10x = 22.22222222222...

Step 4: Subtract the original equation (x = 2.22222222222...) from this new equation: 10x - x = 22.22222222222... - 2.22222222222... 9x = 20

Step 5: Solve for x: x = 20/9

Thus, 2.22222222222 can be written as the fraction 20/9.

• 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 fraction in which a figure or group of figures is repeated indefinitely.