Question

Show that 1.2727... can b expressed in the form P/q where p and q are integers and q not equal to zero

Answer 1

p/q = 126/99

Explanation:

0.27 is a repeating decimal. It goes out to infinity.

100n = 100*1.272727272727 ... to infinity

100n = 127.272727272727 ... to infinity

n = 1.272727272727 ...... to infinity Subtract

99n = 126 The rest cancels out

n = 126/99 Answer