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114 LearnersLast updated on March 7th, 2025
0.3333333333 as a Fraction
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, 0.3333333333, we are going to learn how to convert a decimal to a fraction.
What is 0.3333333333 as a Fraction?
Answer
The answer for 0.3333333333 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: Recognize that 0.3333333333 is a repeating decimal. Let's denote this decimal as x, where x = 0.3333333333...
Step 2: Multiply x by 10 to shift the decimal point one place to the right: 10x = 3.3333333333...
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 3.3333333333... - 0.3333333333... 9x = 3
Step 4: Solve for x: x = 3/9
Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3: 3/9 = 1/3
Thus, 0.3333333333 can be written as a fraction 1/3.
Important Glossaries for 0.3333333333 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal that has one or more repeating digits indefinitely.
- 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 the numbers without a remainder.
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