0.15151515151 as a Fraction

Answer

The answer for 0.15151515151 as a fraction will be 5/33.

Explanation

Converting a repeating 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: Let x = 0.15151515151... (the repeating decimal)

Step 2: Multiply both sides by 100 to move the decimal point two places to the right, since the repeating part is two digits: 100x = 15.1515151515...

Step 3: Subtract the original equation (Step 1) from this new equation: 100x = 15.1515151515... x = 0.15151515151... ------------------------ 99x = 15

Step 4: Solve for x by dividing both sides by 99: x = 15/99

Step 5: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 3: 15/99 = 5/33

Thus, 0.15151515151 can be written as a fraction 5/33.

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

• 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.

• Greatest Common Divisor: The largest positive integer that divides the numbers without a remainder.