0.363636 as a Fraction

Answer

The answer for 0.363636 as a fraction will be 4/11.

Explanation

Converting a repeating decimal to a fraction involves a few steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.363636...

Step 2: Multiply both sides by 100 to shift the decimal point: 100x = 36.363636...

Step 3: Subtract the original equation (x = 0.363636...) from this new equation: 100x - x = 36.363636... - 0.363636... 99x = 36

Step 4: Solve for x by dividing both sides by 99: x = 36/99 Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 36 and 99, which is 9: 36/99 = 4/11

Thus, 0.363636 can be written as a fraction 4/11.

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

• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated 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 each of the integers without a remainder.