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109 LearnersLast updated on March 7th, 2025
0.833333333333 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, 0.833333333333, we are going to learn how to convert a decimal to a fraction.
What is 0.833333333333 as a Fraction?
Answer
The answer for 0.833333333333 as a fraction will be 5/6.
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 0.833333333333 is a repeating decimal. To convert it into a fraction, we can set x = 0.833333333333.
Step 2: Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 8.33333333333.
Step 3: Since the decimal repeats every digit, subtract the original x from this equation: 10x - x = 8.33333333333 - 0.833333333333.
Step 4: This simplifies to: 9x = 7.5. Step 5: Solving for x gives: x = 7.5/9 = 5/6 after simplification.
Thus, 0.833333333333 can be written as a fraction 5/6.
Important Glossaries for 0.833333333333 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 after the decimal point.
- 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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