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118 LearnersLast updated on March 7th, 2025
0.8333333333 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, 0.8333333333, we are going to learn how to convert a decimal to a fraction.
What is 0.8333333333 as a Fraction?
Answer
The answer for 0.8333333333 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: Identify the repeating part of the decimal. Here, 0.8333333333 has a repeating part of 3, which is indicated by the repeating decimal 0.833...
Step 2: Let x = 0.8333333333...
Step 3: Multiply both sides by 10 to move the decimal point one place right: 10x = 8.3333333333...
Step 4: Subtract the original equation (x = 0.8333333333...) from this new equation: 10x - x = 8.3333333333... - 0.8333333333...
Step 5: This gives: 9x = 7.5
Step 6: Divide both sides by 9 to solve for x: x = 7.5/9
Step 7: Simplify the fraction: 7.5/9 = 5/6
Thus, 0.8333333333 can be written as a fraction 5/6.
Important Glossaries for 0.8333333333 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 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.
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