2.33333 as a Fraction

Answer

The answer for 2.33333 as a fraction will be 7/3.

Explanation

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

Step 1: Let x equal the repeating decimal. Here, let x = 2.33333...

Step 2: Multiply by a power of 10 to move the decimal point for one full cycle of repetition. Since the decimal repeats every single digit, multiply by 10. 10x = 23.33333...

Step 3: Subtract the original equation from the new equation to eliminate the repeating part. 10x - x = 23.33333... - 2.33333... 9x = 21

Step 4: Solve for x by dividing both sides by 9. x = 21/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 21/9 = 7/3

Thus, 2.33333 can be written as a fraction 7/3.

• 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.