2.666666667 as a Fraction

Answer

The answer for 2.666666667 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 decimal number should be converted to a fraction for easy calculation. Here, 2.666666667 is the number on the numerator and the base number 1 will be the denominator. Then, 2.666666667 becomes 2.666666667/1.

Step 2: Recognize that 2.666666667 is a repeating decimal. The repeating part is 6. We can express it using algebra. Let x = 2.666666667...

Step 3: Multiply both sides by 10 to shift the decimal point: 10x = 26.66666667...

Step 4: Subtract the original equation from this new equation: 10x - x = 26.66666667... - 2.66666667... 9x = 24

Step 5: Solve for x: x = 24/9 Step 6: Simplify the fraction: 24/9 = 8/3

Thus, 2.666666667 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.
   
• 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 a digit or group of digits repeats infinitely.