Question

Write repeating decimal 0.027272727 ... as a fraction.

Reduce the fraction completely.

Thanks

Answer 1

The answer should be 1/37

Explanation:

if you multiply the number by 37 you get the number 1

then by putting 1 over 37 you get your fraction

Answer 2

3/110

Explanation:

x = .0272727 repeating

Multiply by 100

100x = 2.727 repeating

Subtract the first equation from the second

100x = 2.727 repeating

-x = .0272727 repeating

------------------------------------

99x = 2.7

Divide each side by 99

99x/99 = 2.7/99

x = 27/990

x =3/110