6.6666667 as a Fraction

Answer

The answer for 6.6666667 as a fraction will be 20/3.

Explanation

Converting a repeating 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: Let x = 6.6666667. Notice that 6.6666667 is essentially 6.6 with repeating decimals.

Step 2: Multiply x by a power of 10 to move the repeating part of the decimal point to the left of the decimal. Here, multiply by 10: 10x = 66.6666667

Step 3: Subtract the original equation (x = 6.6666667) from this new equation to eliminate the repeating part: 10x - x = 66.6666667 - 6.6666667 9x = 60

Step 4: Solve for x: x = 60/9

Step 5: Simplify the fraction 60/9. The GCD of 60 and 9 is 3. Divide the numerator and the denominator by 3: 60/9 = 20/3

Thus, 6.6666667 can be written as a fraction 20/3.

• 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.