SP #6: Unit K Concept 10 - Writing a Repeated Decimal as a Rational Number Using Geometric Sequence

 

The viewer needs to pay special attention to finding the ratio by dividing the second term by the first. When we reach dividing the two fractions, we need to multiply the reciprocal of the second number in order to cancel. It is crucial to remember the whole number 5 from the beginning of the problem. Add it to the solution by multiplying top and bottom by 99 to get the same denominator and then add the two fractions.