0.55555555 as a Fraction

Answer

The answer for 0.55555555 as a fraction is 5/9.

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, recognize that 0.55555555 is a repeating decimal. The repeating part is '5', so we can represent it as 0.5̅ (where the bar indicates the repeating part).

Step 2: To convert a repeating decimal to a fraction, let x = 0.5̅. Multiply both sides by 10 to move the decimal point one place to the right: 10x = 5.5̅.

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 5.5̅ - 0.5̅, which simplifies to 9x = 5. Step 4: Solve for x by dividing both sides by 9: x = 5/9.

Thus, 0.55555555 can be written as a fraction 5/9.

• 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.