Question

express 0.123 bar in the form of p/q q is unequal to 0 p and q are integers ​

Answer 1

Let x=0.123123123123123...

Multiply by 1000 on both sides

• Here we are multiplying it by 1000 becaise the bar is there on 3 number i.e. 1,2,3
• The zeroes after 1 depends on the numbers which are having bar on them

1000x=123+0.123123123123123....---1

1000-x=123+x

999x=123

x=123/999

Hence, The p/q form of 0.123 bar is 123/999