Write the given repeating decimal as a fraction 0.72 repeating.

We are asked to convert the 0.72 repeating into a fraction. This number is an irrational number of its repeating sequence. In this case, we can use a calculator to convert this into a rational number. We input 0.72 many times and the answer to this problem is 8/11

0.72 (repeating) = 72/99 which reduces to 24/33

little tip:

if there is 1 repeating number. put it over 9: 0.4444 = 4/9

if there is 2 repeating numbers, put it over 99: 0.8787 = 87/99

if there is 3 repeating numbers, put it over 999: 0.789789 = 789/999