1.85714285714 as a Fraction

Answer

The answer for 1.85714285714 as a fraction will be 13/7.

Explanation

Converting a repeating decimal to a fraction can be done with a clear set of steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 1.85714285714...

Step 2: Notice that the decimal repeats every 7 digits. To eliminate the repeating part, multiply x by 10^7 (10,000,000): 10,000,000x = 18571428.57142857...

Step 3: Subtract the original equation from this equation: 10,000,000x = 18571428.57142857... - x = 1.85714285714... 9,999,999x = 18571426.7142857

Step 4: Solve for x by dividing both sides by 9,999,999: x = 18571426.7142857 / 9,999,999

Step 5: Simplify the fraction. The greatest common divisor (GCD) of 18571426 and 9,999,999 is 1,428,571. Divide both by this number to get: 18571426 / 9,999,999 = 13/7

Thus, 1.85714285714 can be written as a fraction 13/7.

• 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.