0.571428571 as a Fraction

Answer

The answer for 0.571428571 as a fraction will be 4/7.

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, any decimal number should be converted to a fraction for easy calculation. Here, 0.571428571 is the number on the numerator and the base number 1 will be the denominator. Then, 0.571428571 becomes 0.571428571/1.

Step 2: To remove the repeating decimal from a fraction, recognize the repeating pattern. Here, 571428 is the repeating part. This can be set up as an equation: Let x = 0.571428571... 1000000x = 571428.571428...

Step 3: Subtract the first equation from the second: 1000000x - x = 571428.571428... - 0.571428571... 999999x = 571428 x = 571428/999999

Step 4: Simplify the fraction by the greatest common divisor (GCD) of 571428 and 999999, which is 142857. 571428/999999 = 4/7

Thus, 0.571428571 can be written as a fraction 4/7.

• 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.
   
• 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 group of digits repeats infinitely.