2.66666667 as a Fraction

Answer

The answer for 2.66666667 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: Firstly, any repeating decimal number should be converted to a fraction for easy calculation. Here, 2.66666667 represents a repeating decimal, which can be considered as 2.6̅.

Step 2: Let x = 2.6̅. Multiply both sides by 10 to shift the decimal point: 10x = 26.6̅.

Step 3: Subtract the original x from this equation: 10x - x = 26.6̅ - 2.6̅, resulting in 9x = 24.

Step 4: Divide both sides by 9 to solve for x: x = 24/9.

Step 5: Simplify the fraction: 24/9 = 8/3.

Thus, 2.66666667 can be written as a fraction 8/3.

• 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 in which a digit or group of digits repeats infinitely.
   
• 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.