1.3333333333 as a Fraction

Answer

The answer for 1.3333333333 as a fraction is 4/3.

Explanation

Converting a repeating decimal to a fraction can be done systematically. Follow the steps mentioned below to find the answer.

Step 1: Let x = 1.3333333333...

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 13.3333333333...

Step 3: Subtract the original equation (x = 1.3333333333...) from this new equation (10x = 13.3333333333...). 10x - x = 13.3333333333... - 1.3333333333... 9x = 12

Step 4: Solve for x by dividing both sides by 9. x = 12/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3. 12/9 = 4/3

Thus, 1.3333333333 can be written as a fraction 4/3.

• 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 indefinitely.
   
• 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 each of the integers in a set without leaving a remainder.