0.133333333 as a Fraction

Answer

The answer for 0.133333333 as a fraction is 2/15.

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, express the repeating decimal as a fraction. Let x = 0.133333333...

Step 2: Since the decimal repeats every 9 digits, multiply x by 10 to shift the decimal point one place to the right: 10x = 1.33333333...

Step 3: Subtract the original equation from this new equation: 10x - x = 1.33333333... - 0.13333333... 9x = 1.2

Step 4: Solve for x by dividing both sides by 9: x = 1.2/9

Step 5: Convert 1.2 into a fraction: 1.2 = 12/10 = 6/5 Step 6: Now divide by 9: x = (6/5) / 9 = 6/45 = 2/15 Thus, 0.133333333 can be written as a fraction 2/15.

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

• Repeating Decimal: A decimal number that has digits that repeat forever.

• 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.