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107 LearnersLast updated on March 24th, 2025
0.133333333 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, 0.133333333, we are going to learn how to convert a decimal to a fraction.
What is 0.133333333 as a Fraction?
Answer
The answer for 0.133333333 as a fraction is 2/15.
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, express the repeating decimal as a fraction. Let x = 0.133333333...
Step 2: Since the decimal repeats every 9 digits, multiply x by 10 to shift the decimal point one place to the right: 10x = 1.33333333...
Step 3: Subtract the original equation from this new equation: 10x - x = 1.33333333... - 0.13333333... 9x = 1.2
Step 4: Solve for x by dividing both sides by 9: x = 1.2/9
Step 5: Convert 1.2 into a fraction: 1.2 = 12/10 = 6/5 Step 6: Now divide by 9: x = (6/5) / 9 = 6/45 = 2/15 Thus, 0.133333333 can be written as a fraction 2/15.
Important Glossaries for 0.133333333 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal number that has digits that repeat forever.
- 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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