0.57142857142 as a Fraction

Answer

The answer for 0.57142857142 as a fraction is 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: Recognize that 0.57142857142 is a repeating decimal with the repeating part 571428. You can express the decimal as 0.571428571428... by noting the repeating sequence.

Step 2: Set x = 0.571428571428...

Step 3: Multiply both sides by 10^6 (as the sequence 571428 has 6 digits): 1000000x = 571428.571428...

Step 4: Subtract the original x equation from this new equation to eliminate the repeating part: 1000000x - x = 571428.571428... - 0.571428571428... 999999x = 571428

Step 5: Solve for x: x = 571428/999999

Step 6: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 142857: 571428/999999 = 4/7

Thus, 0.57142857142 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 sequence of digits repeats infinitely.