2.66666666667 as a Fraction

Answer

The answer for 2.66666666667 as a fraction is approximately 8/3.

Explanation

Converting a decimal to a fraction is a task that can be accomplished with a few steps. You can follow the steps mentioned below to find the answer.

Step 1: Identify the repeating part of the decimal. Here, 2.66666666667 can be approximated to 2.666... which has a repeating part of 6.

Step 2: Let x = 2.666... To eliminate the repeating part, multiply by 10 to shift the decimal point: 10x = 26.666...

Step 3: Subtract the original equation from the new equation to eliminate the repeating part: 10x - x = 26.666... - 2.666... 9x = 24

Step 4: Solve for x by dividing both sides by 9: x = 24/9

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 24 and 9, which is 3. Divide both the numerator and denominator by their GCD: 24/9 = 8/3

Thus, 2.66666666667 can be approximated 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 one or more digits repeat 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.