13.3333333333 as a Fraction

Answer

The answer for 13.3333333333 as a fraction will be 40/3.

Explanation

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

Step 1: Let x = 13.3333333333.

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 133.3333333333.

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2): 10x - x = 133.3333333333... - 13.3333333333...

Step 4: This simplifies to 9x = 120

Step 5: Solve for x by dividing both sides by 9: x = 120/9

Step 6: Simplify the fraction by finding the GCD of 120 and 9, which is 3: 120/9 = 40/3

Thus, 13.3333333333 can be written as a fraction 40/3.

• 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 sequence 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.
   
• Greatest Common Divisor (GCD): The largest positive integer that divides the numbers without a remainder.