SP #6: Unit K Concept 10: Writing a Repeating Decimal as a Rational Number using Geometric Series

This problem is on how to write a repeating decimal as a rational number using geometric series. So basically, this is when the decimal repeats itself on the right side of the decimal point. My example shows 13 repeating itself over and over. Using geometric series makes the process so much easier to solve.
It is important to format the problem correctly and use proper notation. For problems like these, which repeat, we use the infinity symbol to represent that. There are several fractions, so it's important to be careful when dealing with them. Get rid of the denominator by multiplying the fractional denominator by its reciprocal. Multiply the numerator by the same reciprocal from the denominator. Because there is a whole number,3, convert it into a fraction with the same denominator as the new fraction and add them together.