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123 LearnersLast updated on March 11th, 2025
0.33333333333 as a Fraction
Numbers can be categorized into different types. A fraction is one of these types. 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 part of a whole. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), such as 0.33333333333. We are going to learn how to convert a decimal to a fraction.
What is 0.33333333333 as a Fraction?
Answer
The answer for 0.33333333333 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, recognize that 0.33333333333 is a repeating decimal. Let's represent it as x: x = 0.33333333333...
Step 2: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 3.33333333333...
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 3.33333333333... - 0.33333333333... 9x = 3
Step 4: Solve for x by dividing both sides by 9: x = 3/9
Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 3/9 = 1/3
Thus, 0.33333333333 can be written as a fraction 1/3.
Important Glossaries for 0.33333333333 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.
- 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.
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