Question

Convert 0.72 repeating into a fraction

Answer 1

0.72 repeating is the sum of a geometric series with first term 0.72 and common factor 1/100. The sum is given by:

(first term) 0.72 0.72 72

--------------------------- = --------------- = ------------ = ------------

1 - common factor 1 - 1/100 99/100 99

This 72/99 can be reduced to 8/11.

0.72 repeating can be rewritten as the fraction 8/11.