2.6666666667 as a Fraction

Answer

The answer for 2.6666666667 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. Here, 2.6666666667 has the repeating part "6".

Step 2: Let x = 2.6666666667. Multiply both sides by 10 to move the decimal point one place to the right. 10x = 26.666666667

Step 3: Now subtract the original number from this equation to remove the repeating part. 10x - x = 26.666666667 - 2.6666666667 9x = 24

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

Step 5: Simplify the fraction. The GCD of 24 and 9 is 3. Divide both the numerator and denominator by 3. 24/9 = 8/3

Thus, 2.6666666667 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.