6.666666667 as a Fraction

Answer

The answer for 6.666666667 as a fraction is 20/3.

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: Identify the repeating part of the decimal. Here, 6.666666667 can be seen as 6 + 0.666666667.

Step 2: Assume x = 0.666666667. Since the repeating part is 6, multiply by 10 to shift the decimal: 10x = 6.66666667.

Step 3: Subtract the original x from this result: 10x - x = 6.66666667 - 0.66666667, 9x = 6. Therefore, x = 6/9 = 2/3.

Step 4: Add the whole number part back to the fraction: 6 + 2/3 = 18/3 + 2/3 = 20/3.

Thus, 6.666666667 can be written as the fraction 20/3.

• Fraction: A numerical quantity that represents a part of a whole.

• Decimal: A number expressed in the base ten and includes a decimal point to separate the whole part from the fractional part.

• Repeating Decimal: A decimal with one or more repeating digits after the decimal point.

• 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.