Question

Show that 1.272727...=1.27[bar over 27]can be expressed in the form p/q where p and q are integers and qis not equal to 0 .

Answer 1

Let p/q be 1.27 bar........(1) Therefore,100 p/q= 127.27 bar........(2) Subtracting (1) from (2), 100p/q=127.27 bar -1p/q=1.27bar =126/99