3.6666 as a Fraction

Answer:

The answer for 3.6666 as a fraction will be 11/3.

Explanation:

Converting a repeating decimal to a fraction can be done by following these steps:

Step 1: Let x = 3.6666...

Step 2: Since the decimal repeats every four digits, multiply by 10,000 (10^4) to shift the decimal point: 10000x = 36666.6666...

Step 3: Subtract the original equation (x = 3.6666...) from this new equation: 10000x - x = 36666.6666... - 3.6666... 9999x = 36663

Step 4: Solve for x by dividing both sides by 9999: x = 36663/9999

Step 5: Simplify the fraction by dividing the numerator and the denominator by their GCD (3333): 36663/9999 = 11/3

Thus, 3.6666 can be written as a fraction 11/3.

• 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 numbers without a remainder.