Recurring decimal to fraction

Do you have any idea that there is one very easy solution to convert a decimal number with recurring numbers to a fraction

• Take a number like 7.5678787878...
• As we can see, that 78 is repeating.
• So, take 9 for each repeating digit... 99 for our example.
• Take 0 for each non repeating number after the decimal point... 2 0's for 56 & append to the 9's considered.
• 9900 should go to the denominator.
• In the numerator, subtract the number made out of all the individual numbers which are not repeating from the complete number without the recurrence.
• (75678-756)/9900 is the solution...