How to Write a Repeating Decimal as a Fraction?

A decimal number exists in different types, one of them being a recurring decimal.

Answer: Repeating or Recurring decimal as fraction can be written by the method discussed below.

Explanation:

Recurring decimals are numbers in which decimal digits are recurring.

Count the number of digits recurring in the decimal and multiply the number with 10 raised to power n.

For example, if x = .23232323, then the number of recurring digits are two, so multiply with 10 to power 2 = 100

100x = 23.23232323 , subtracting the two equations we get 99x = 23 or x = 23/99.

Therefore, recurring decimal can be converted to fraction using the above method.