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117 LearnersLast updated on March 7th, 2025
13.3333333333 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, 13.3333333333, we are going to learn how to convert a decimal to a fraction.
What is 13.3333333333 as a Fraction?
Answer
The answer for 13.3333333333 as a fraction will be 40/3.
Explanation
Converting a repeating decimal to a fraction involves a few steps to handle the repetition. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 13.3333333333.
Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 133.3333333333.
Step 3: Subtract the original equation (Step 1) from this new equation (Step 2): 10x - x = 133.3333333333... - 13.3333333333...
Step 4: This simplifies to 9x = 120
Step 5: Solve for x by dividing both sides by 9: x = 120/9
Step 6: Simplify the fraction by finding the GCD of 120 and 9, which is 3: 120/9 = 40/3
Thus, 13.3333333333 can be written as a fraction 40/3.
Important Glossaries for 13.3333333333 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 sequence 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 the numbers without a remainder.
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