0.333333333 as a Fraction

Answer

The answer for 0.333333333 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 0.333333333 is a repeating decimal. It can be expressed as 0.3̅, where 3 is the repeating digit.

Step 2: Let x = 0.3̅. Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 3.3̅

Step 3: Subtract the original x from this equation to eliminate the repeating part: 10x - x = 3.3̅ - 0.3̅ 9x = 3

Step 4: Solve for x by dividing both sides by 9: x = 3/9 Step 5: Simplify the fraction by finding the GCD of 3 and 9, which is 3, and divide both the numerator and the denominator by 3: 3/9 = 1/3

Thus, 0.333333333 can be written as a 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.

• 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.