0.3333333 as a Fraction

Answer

The answer for 0.3333333 as a fraction is 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 decimal number should be converted to a fraction for easy calculation. Here, 0.3333333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.3333333 becomes 0.3333333/1.

Step 2: To remove the repeating decimal from the fraction, recognize that 0.3333333 is a repeating decimal. It can be expressed as a fraction by considering it as x = 0.3333333... Multiply both sides by 10 to get 10x = 3.3333333... Subtract the original x from this equation to eliminate the repeating part: 10x - x = 3.3333333... - 0.3333333... which simplifies to 9x = 3.

Step 3: Solve for x by dividing both sides by 9. Thus, x = 3/9, which simplifies to 1/3 after dividing both the numerator and denominator by their GCD, which is 3.

Thus, 0.3333333 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 uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• 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.

• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.