Question

0.123 is equal to (122/990 or 122/100 or 122/99 or none of these ) ? who can answer this ?

Answer 1

Answer :
Let x = 0.12$\overline{3}$

Multiply both the sides by 100 , we get

100 x = 12.$\overline{3}$ ------------ ( 1 )

multiply both the sides by 10 in equation 1 , we get

1000x = 123.$\overline{3}$ -------------- ( 2 )

Subtract equation 2 - equation 1 , and get

900x = 111

x = $\frac{111}{900}$

Now we divide by 3 on denominator and numerator , and get


x = $\frac{37}{300}$

Hence

0.12$\overline{3}$ = $\frac{37}{300}$

So Answer is None of these ( Ans )