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114 LearnersLast updated on March 7th, 2025
0.833333333 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, 0.833333333, we are going to learn how to convert a decimal to a fraction.
What is 0.833333333 as a Fraction?
Answer
The answer for 0.833333333 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: Firstly, recognize that 0.833333333 is a repeating decimal. Here, the repeating part is "3". Let x = 0.833333333...
Step 2: Multiply x by 10 to shift the decimal point: 10x = 8.33333333...
Step 3: Subtract the original x from this equation: 10x - x = 8.33333333... - 0.83333333... 9x = 7.5
Step 4: Solve for x by dividing both sides by 9: x = 7.5/9
Step 5: Simplify the fraction. Divide the numerator and the denominator by 1.5 (the GCD of 7.5 and 9): 7.5/9 = 5/6
Thus, 0.833333333 can be written as a fraction 5/6.
Important Glossaries for 0.833333333 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Repeating Decimal: A decimal in which a pattern of one or more 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.
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