1.33333333333 as a Fraction

Answer

The answer for 1.33333333333 as a fraction will be 4/3.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. 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, 1.33333333333 is the number on the numerator and the base number 1 will be the denominator. Then, 1.33333333333 becomes 1.33333333333/1.

Step 2: Recognize that 1.33333333333 is a repeating decimal. Let's represent it as 1.333... or 1.(3). To convert a repeating decimal to a fraction, we can set x = 1.333...

Step 3: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 13.333...

Step 4: Subtract the original equation from this new equation: 10x - x = 13.333... - 1.333... 9x = 12

Step 5: Solve for x by dividing both sides by 9: x = 12/9

Step 6: Simplify the fraction by dividing the numerator and the denominator by their GCD, which is 3: 12/9 = 4/3

Thus, 1.33333333333 can be written as a fraction 4/3.

• 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 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.