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.

• 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.