0.55555 as a Fraction

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Numbers can be categorized into different types. 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. The numbers in decimal form are expressed with a decimal point (.), for example, 0.55555. We are going to learn how to convert a decimal to a fraction.

What is 0.55555 as a Fraction?

$0.55555 as a fraction$ Answer

The answer for 0.55555 as a fraction is 5/9.

Explanation

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

Step 1: Let x equal the repeating decimal: x = 0.55555...

Step 2: Multiply x by 10 to shift the decimal point: 10x = 5.55555...

Step 3: Subtract the original x from this equation: 10x - x = 5.55555... - 0.55555... This simplifies to: 9x = 5

Step 4: Solve for x by dividing both sides by 9: x = 5/9

Hence, 0.55555 is represented as the fraction 5/9.

Important Glossaries for 0.55555 as a Fraction

Fraction: A numerical expression representing a part of a whole.
Decimal: A number expressed using a system of base ten, including a decimal point to separate the whole from the fractional part.
Numerator: The upper part of a fraction, denoting how many parts of the whole are in consideration.
Denominator: The lower part of a fraction that indicates into how many parts the whole is divided.
Repeating Decimal: A decimal with digits that repeat infinitely in a specific pattern.