0.333333333333333 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 are expressed with a decimal point (.), For example, 0.333333333333333, we are going to learn how to convert a decimal to a fraction.

What is 0.333333333333333 as a Fraction?

$0.333333333333333 as a fraction$

Answer

The answer for 0.333333333333333 as a fraction is 1/3.

Explanation

Converting a repeating decimal to a fraction involves recognizing the repeating part. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.333333333333333...

Step 2: Multiply both sides of the equation by 10 to move the decimal point one place to the right. 10x = 3.333333333333333...

Step 3: Subtract the first equation from the second to eliminate the repeating part. 10x - x = 3.333333333333333... - 0.333333333333333... 9x = 3

Step 4: Solve for x by dividing both sides by 9. x = 3/9

Step 5: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 3. x = 1/3

Thus, 0.333333333333333 can be written as the fraction 1/3.

Important Glossaries for 0.333333333333333 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
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.
Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without a remainder.