0.85714286 as a Fraction

Answer

The answer for 0.85714286 as a fraction will be 6/7.

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, recognize that 0.85714286 is a repeating decimal. The repeating sequence is "857142."

Step 2: Let x = 0.85714286. Multiply x by 1000000 (since the repeating block is 6 digits long) to shift the decimal point: 1000000x = 857142.85714286

Step 3: Subtract the original number from this equation to eliminate the repeating part: 1000000x - x = 857142.85714286 - 0.85714286 999999x = 857142

Step 4: Solve for x by dividing both sides by 999999: x = 857142/999999

Step 5: Simplify the fraction by finding the GCD of 857142 and 999999, which is 142857, and divide both numerator and denominator by this GCD: 857142/999999 = 6/7

Thus, 0.85714286 can be written as a fraction 6/7.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Repeating Decimal: A decimal in which a sequence 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.

• Greatest Common Divisor (GCD): The largest positive integer that divides the numbers without a remainder.