1.71428571429 as a Fraction

Answer

The answer for 1.71428571429 as a fraction will be 12/7.

Explanation

Converting a decimal to a fraction can be straightforward by following a series of steps. You can follow the steps mentioned below to find the answer.

Step 1: Recognize that 1.71428571429 is a repeating decimal. The repeating part here is 0.714285, which repeats every 6 digits.

Step 2: Let x = 1.71428571429...

Step 3: Multiply both sides by 10^6 (1,000,000) to move the decimal point 6 places to the right: 1,000,000x = 1714285.714285...

Step 4: Subtract the original x from this equation to eliminate the repeating part: 1,000,000x - x = 1714285.714285... - 1.71428571429... 999,999x = 1714284

Step 5: Solve for x: x = 1714284/999999

Step 6: Simplify the fraction. The greatest common divisor (GCD) of 1714284 and 999999 is 142857. Divide both the numerator and the denominator by 142857: 1714284/999999 = 12/7

Thus, 1.71428571429 can be written as a fraction 12/7.

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

• 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.

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