2.33333333333 as a Fraction

Answer

The answer for 2.33333333333 as a fraction will be 7/3.

Explanation

Converting a repeating decimal to a fraction is a task that can be done easily. Follow the steps mentioned below to find the answer.

Step 1: Let x = 2.33333333333...

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 23.3333333333...

Step 3: Subtract the original equation from this new equation: 10x - x = 23.3333333333... - 2.33333333333... 9x = 21

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

Step 5: Simplify the fraction by finding the GCD of 21 and 9, which is 3. 21/9 = 7/3

Thus, 2.33333333333 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.