0.666666667 as a Fraction

Answer:

The answer for 0.666666667 as a fraction is approximately 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 a fraction for easy calculation. Here, 0.666666667 is the number on the numerator and the base number 1 will be the denominator. Then, 0.666666667 becomes 0.666666667/1.

Step 2: Recognize that 0.666666667 is a repeating decimal of 0.666... (with 6 repeating infinitely). This is equivalent to 2/3.

Step 3: To verify, set x = 0.666666667. Multiply both sides by 10 to shift the decimal point: 10x = 6.66666667. Subtract the original x from this equation: 10x - x = 6.66666667 - 0.666666667, resulting in 9x = 6. Simplifying gives x = 6/9, which reduces to 2/3.

Thus, 0.666666667 can be written approximately as a fraction of 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.

• 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 one or more digits repeat infinitely.