144 LearnersLast updated on May 26th, 2025
2.857142857 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, 2.857142857, we are going to learn how to convert a decimal to a fraction.
What is 2.857142857 as a Fraction?
![2.857142857 as a fraction]()
Answer
Answer
The answer for 2.857142857 as a fraction will be 20/7.
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 recognize that 2.857142857 is a repeating decimal. We can express it as 2 + 0.857142857...
Step 2: Notice that 0.857142857... is a repeating decimal with a cycle of 6 digits (857142). To convert it to a fraction, let's denote x = 0.857142857...
Step 3: Multiply x by 1,000,000 to shift the decimal point by 6 places: 1000000x = 857142.857142...
Step 4: Subtract x from 1000000x to eliminate the repeating part: 1000000x - x = 857142.857142... - 0.857142857... 999999x = 857142
Step 5: Solve for x: x = 857142/999999
Step 6: Simplify the fraction by finding the GCD of 857142 and 999999, which is 142857: x = 857142 ÷ 142857 / 999999 ÷ 142857 = 6/7
Step 7: Therefore, 2.857142857 = 2 + 6/7 = (14 + 6)/7 = 20/7
Thus, 2.857142857 can be written as a fraction 20/7.
Important Glossaries for 2.857142857 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.
- 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.
- Repeating Decimal: A decimal in which a digit or a group of digits repeats infinitely.
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