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108 LearnersLast updated on March 27th, 2025
0.05333333333 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. 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 example, 0.05333333333, we are going to learn how to convert a decimal to a fraction.
What is 0.05333333333 as a Fraction?
Answer
The answer for 0.05333333333 as a fraction will be 4/75.
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, let's express 0.05333333333 as a fraction with 1 as the denominator. Here, 0.05333333333 becomes 0.05333333333/1.
Step 2: Recognize that this is a repeating decimal with a repeating part of '3'. To convert this repeating decimal to a fraction, set x = 0.05333333333.
Step 3: To remove the repeating part, multiply by 10 to get 10x = 0.5333333333. Then subtract the original x from this equation to eliminate the repeating decimal: 10x - x = 0.5333333333 - 0.05333333333 9x = 0.48
Step 4: Solve for x by dividing both sides by 9: x = 0.48/9 = 4/75
Thus, 0.05333333333 can be written as a fraction 4/75.
Important Glossaries for 0.05333333333 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 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.
- Simplification: The process of reducing a fraction to its simplest form.
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