3.6666666667 as a Fraction

Answer

The answer for 3.6666666667 as a fraction will be 11/3.

Explanation

Converting a repeating decimal to a fraction is a task that can be done with a few steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 3.6666666667 (we'll consider the repeating part as 3.666... for simplicity).

Step 2: Multiply both sides by 10 to move the decimal point one place to the right: 10x = 36.666...

Step 3: Subtract the original equation (x = 3.666...) from this new equation to eliminate the repeating part: 10x - x = 36.666... - 3.666... 9x = 33

Step 4: Solve for x by dividing both sides by 9: x = 33/9 x = 11/3

Thus, 3.6666666667 can be written as a fraction 11/3.

• 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 sequence of one or more digits repeats infinitely.