0.333333 as a Fraction

Answer

The answer for 0.333333 as a fraction will be 1/3.

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 repeating decimal number should be expressed using a variable equation to convert it to a fraction easily. Let x = 0.333333...

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 3.333333...

Step 3: Subtract the original equation (x = 0.333333...) from the new equation (10x = 3.333333...) to eliminate the repeating part: 10x - x = 3.333333... - 0.333333... 9x = 3

Step 4: Solve for x by dividing both sides by 9: x = 3/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 3/9 = 1/3

Thus, 0.333333 can be written as the fraction 1/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that includes a decimal point to separate the whole part from the fractional part.
   
• Repeating Decimal: A decimal in which a digit or a 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.