0.3333333333 as a Fraction

Answer

The answer for 0.3333333333 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: Recognize that 0.3333333333 is a repeating decimal. Let's denote this decimal as x, where x = 0.3333333333...

Step 2: Multiply x by 10 to shift the decimal point one place to the right: 10x = 3.3333333333...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 3.3333333333... - 0.3333333333... 9x = 3

Step 4: Solve for x: x = 3/9

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

Thus, 0.3333333333 can be written as a fraction 1/3.

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

• Repeating Decimal: A decimal that has one or more repeating digits 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 the numbers without a remainder.