3.33333333 as a Fraction

Answer

The answer for 3.33333333 as a fraction will be 10/3.

Explanation

Converting a decimal to a fraction can be done easily by following specific steps. 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, 3.33333333 is the number. Observe that it is a repeating decimal, where the digit 3 repeats.

Step 2: Let x = 3.33333333. To remove the repeating part, multiply both sides by 10 (since there's one repeating digit): 10x = 33.3333333

Step 3: Subtract the original x from this equation: 10x - x = 33.3333333 - 3.33333333 9x = 30

Step 4: Solve for x by dividing both sides by 9: x = 30/9

Step 5: Simplify the fraction by finding the GCD of 30 and 9, which is 3. Divide the numerator and denominator by this GCD: 30/9 = 10/3

Thus, 3.33333333 can be written as the fraction 10/3.

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