11.2 Infinite Sequences & Series
Question #5 (Medium): Infinite Decimal Number as a Ratio of Integers
When a number with infinitely repeating decimal place is given, first convert into sum of fractions,
grouping the repeating numbers together as a term, then see if it follows geometric series with a
constant ratio between terms. Then based on the sum of converging geometric series of , the
number can be expressed as a ratio of integers.
Express the number