1.22222222222 as a Fraction

Answer:

The answer for 1.22222222222 as a fraction will be 11/9.

Explanation:

Converting a repeating 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: Let x = 1.22222222222... (where 2 is repeating).

Step 2: Multiply x by 10 to move the decimal point to the right: 10x = 12.22222222222...

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part: 10x - x = 12.22222222222... - 1.22222222222... 9x = 11

Step 4: Solve for x by dividing both sides by 9: x = 11/9 Thus, 1.22222222222 can be written as a fraction 11/9.

• Fraction: A numerical expression representing a part of a whole, using a numerator and a denominator.

• Decimal: A number that includes a decimal point to separate the whole part from the fractional part.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.

• Numerator: The top part of a fraction, indicating the number of parts considered.

• Denominator: The bottom part of a fraction, showing the total number of equal parts in the whole.