0.66666667 as a Fraction

Answer

The answer for 0.66666667 as a fraction will be 2/3.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to fraction for easy calculation. Here, 0.66666667 is the number on the numerator and the base number 1 will be the denominator. Then, 0.66666667 becomes 0.66666667/1.

Step 2: To remove the repeating decimal from a fraction, recognize that 0.66666667 is a repeating decimal with the digit 6 repeating infinitely. We express it as 0.6̅.

Step 3: For a repeating decimal like 0.6̅, we can set x = 0.6̅. Then, 10x = 6.6̅. Subtracting these equations gives 9x = 6, so x = 6/9.

Step 4: Simplify the fraction 6/9 by dividing both the numerator and the denominator by their GCD, which is 3. 6/9 = 2/3

Thus, 0.66666667 can be written as a fraction 2/3.

• 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.

• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.

• 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.