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122 LearnersLast updated on March 10th, 2025
0.71428571 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, 0.71428571, we are going to learn how to convert a decimal to a fraction.
What is 0.71428571 as a Fraction?
Answer :
The answer for 0.71428571 as a fraction will be 5/7.
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, identify the repeating part of the decimal. Here, 0.71428571 has a repeating sequence of 714285.
Step 2: Let x = 0.714285714285..., then 1000000x = 714285.714285...
Step 3: Subtract the first equation from the second to eliminate the repeating part: 1000000x - x = 714285.714285... - 0.714285... 999999x = 714285
Step 4: Solve for x by dividing both sides by 999999: x = 714285/999999
Step 5: Simplify the fraction. The GCD of 714285 and 999999 is 142857. Divide both the numerator and the denominator by 142857: 714285/999999 = 5/7
Thus, 0.71428571 can be written as the fraction 5/7.
Important Glossaries for 0.71428571 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 digit or group 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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