0.55555555 as a Fraction
2026-02-28 17:44 Diff

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Last updated on August 5, 2025

Numbers can be categorized into different types. A fraction is one of its kinds. 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 are expressed with a decimal point (.), for example, 0.55555555. We are going to learn how to convert a decimal to a fraction.

What is 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.

Important Glossaries for 0.55555555 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.