2.222222 as a Fraction

Answer

The answer for 2.222222 as a fraction will be 20/9.

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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 2.222222 is the number on the numerator and the base number 1 will be the denominator. Then, 2.222222 becomes 2.222222/1.

Step 2: Recognize that 2.222222 is a repeating decimal. To convert a repeating decimal to a fraction, let x = 2.222222.

Step 3: Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 22.222222

Step 4: Subtract the original equation (step 2) from the equation in step 3. 10x - x = 22.222222 - 2.222222 9x = 20

Step 5: Solve for x by dividing both sides by 9. x = 20/9

Thus, 2.222222 can be written as a 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 in which a digit or group of digits repeats infinitely.