express 15.7121212... in the form p/q where p and q are integers and q not equal to 0.

8 answers

Let a=15.7121212
then 100a=1571.21212
Calculate
100a-a=99a
=1571.2121212...-15.7121212...
=1555.5
therefore
a=1555.5/99
=15555/990
=1037/66
so p=1037, q=66

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