23.3333333333 as a Fraction

Answer

The answer for 23.3333333333 as a fraction will be 70/3.

Explanation

Converting a repeating decimal to a fraction requires a few steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 23.3333333333... This is a repeating decimal with the repeating part being "3".

Step 2: Multiply x by 10 to shift the decimal point one place to the right: 10x = 233.3333333333...

Step 3: Subtract the original x from this result: 10x - x = 233.3333333333... - 23.3333333333... 9x = 210

Step 4: Solve for x by dividing both sides by 9: x = 210/9

Step 5: Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 3: 210/9 = 70/3

Thus, 23.3333333333 can be written as a fraction 70/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• 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.

• GCD (Greatest Common Divisor): The largest positive integer that divides two or more integers without a remainder.