Question

Write 0.87 repeating as a fraction in simplest form

Answer 1

x=0.878787.............. -----------(1)

Multiplying both sides by 100, we get,as the decimal repeats after two Hundreths

100 x=87.87878787............. -----------------------(2)

Subtracting (1) from (2) we get

100x-x=87.8787..... - 0.878787........

99 x=87

Dividing both sides by 99 we get

`x=(87)/(99)\\\\=(29)/(33)`

Which is fraction in simplest form.