0.333 as a Fraction

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. 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, 0.333, we are going to learn how to convert a decimal to a fraction.

What is 0.333 as a Fraction?

$0.333 as a fraction$

Answer

The answer for 0.333 as a fraction will be 1/3.

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, any decimal number should be converted to a fraction for easy calculation. Here, 0.333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.333 becomes 0.333/1.

Step 2: To remove the decimal from a fraction, you need to recognize that 0.333 is a repeating decimal, often denoted as 0.333... (with 3 repeating). This can be expressed as a fraction by using the formula for converting repeating decimals: x = 0.333..., then 10x = 3.333..., so 10x - x = 3.333... - 0.333..., which simplifies to 9x = 3.

Step 3: Solve for x by dividing both sides by 9, resulting in x = 3/9. Simplify the fraction 3/9 by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 3/9 = 1/3 Hence, 0.333 is in the form of a fraction as 1/3.

Thus, 0.333 can be written as a fraction 1/3.

Important Glossaries for 0.333 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.