2.6666666666 as a Fraction

Answer

The answer for 2.6666666666 as a fraction will be 8/3.

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. The number 2.6666666666 has a repeating decimal part of '6'.

Step 2: Let x = 2.6666666666. To eliminate the repeating decimal, multiply x by 10 to shift the decimal point: 10x = 26.6666666666

Step 3: Subtract the original x from this equation: 10x - x = 26.6666666666 - 2.6666666666 9x = 24 Step 4: Solve for x by dividing both sides by 9: x = 24/9 Step 5: Simplify the fraction: 24/9 = 8/3

Thus, 2.6666666666 can be written as a fraction 8/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Repeating Decimal: A decimal that has 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.
   
• Simplifying a Fraction: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor.