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158 LearnersLast updated on March 10th, 2025
2.83333333333 as a Fraction
Numbers can be categorized into different types. A fraction is one such type, 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 express the fractional part of numbers. For instance, 1/2; numbers in decimal form are expressed with a decimal point (.), such as 2.83333333333. Here, we are going to learn how to convert a decimal to a fraction.
What is 2.83333333333 as a Fraction?
Answer:
The answer for 2.83333333333 as a fraction is 17/6.
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: First, express the repeating decimal as a fraction. The decimal 2.83333333333 has a repeating part of .8333... which we can denote as 0.8333...
Step 2: Let x = 0.8333... Then, 10x = 8.3333...
Step 3: Subtract the first equation from the second: 10x - x = 8.3333... - 0.8333..., giving 9x = 7.5.
Step 4: Simplify to find x: x = 7.5/9. Simplifying further, x = 5/6.
Step 5: The whole number part of 2.83333333333 is 2. Thus, the fraction is 2 + 5/6 = 12/6 + 5/6 = 17/6.
Thus, 2.83333333333 can be written as a fraction 17/6.
Important Glossaries for 2.83333333333 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 sequence 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.
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