1.666666666666 as a Fraction

Answer:

The answer for 1.666666666666 as a fraction will be 5/3.

Explanation:

Converting a repeating decimal to a fraction involves a straightforward process. Follow the steps below to find the answer.

Step 1: Let x = 1.666666666666...

Step 2: Since the decimal repeats every 6, multiply both sides of the equation by 10 to shift the decimal point to the right by one place. 10x = 16.66666666666...

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part. 10x - x = 16.66666666666 - 1.666666666666 9x = 15

Step 4: Solve for x by dividing both sides by 9. x = 15/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 15/9 = 5/3

Thus, 1.666666666666 can be written as the fraction 5/3.

• 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 digit or group of digits repeats infinitely.