Question

show that 1.676767... = 1.67 (with a bar on top) can be represented in the form p/q where p and q are integers and q ≠ 0​

Answer 1

Answer:

Its a Rational Number

It can be represented i P/q form where q is not a 0

Answer 2

Let 1.6767.... = p/q _____ eq.(i)

where, p and q are integers and q ≠ 0

By multiplying eq.(i) by 100, we get

167.6767 = 100p/q _____ eq.(ii)

By subtracting eq.(i) from eq.(ii), we get

167.6767 - 1.6767 = (100 - 1)p/q

or, 167 - 1 = 99p/q

or, 166 = 99p/q

or, 166/99 = p/q

• Hence proved.