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115 LearnersLast updated on March 12th, 2025
5.33333333333 as a Fraction
Numbers can be categorized into different types. A 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. A 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 instance, 5.33333333333. We are going to learn how to convert this repeating decimal to a fraction.
What is 5.33333333333 as a Fraction?
Answer
The answer for 5.33333333333 as a fraction will be 16/3.
Explanation
Converting a repeating decimal to a fraction can be done by following specific steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 5.33333333333...
Step 2: Multiply both sides by 10 to shift the decimal point one place to the right, resulting in 10x = 53.3333333333...
Step 3: Subtract the original equation from this new equation to eliminate the repeating decimal part: 10x - x = 53.3333333333... - 5.33333333333... This simplifies to: 9x = 48
Step 4: Solve for x by dividing both sides by 9: x = 48/9
Step 5: Simplify the fraction 48/9 by dividing both the numerator and denominator by their GCD, which is 3: 48/9 = 16/3
Thus, 5.33333333333 can be written as a fraction 16/3.
Important Glossaries for 5.33333333333 as a Fraction
- Fraction: A numerical quantity representing a part of a whole, expressed as one number over another.
- 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.
- Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers without a remainder.
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