Question

express 1.32 bar 0.35 bar as a fraction in simplest form bar is on 2 and 35

Answer 1

i) Let x = 1.3222222... -----eq.1
By multiplying both sides with 10
10x= 13.2222222.... -----eq.2
By subtracting eq1. one eq.2

10x -x = 13.222222..... - 1.32222222....
9x = 11.9
x = 119/ 90

ii) Let x = 0.353545..... -----eq.1
By multiplying both sides with 10
100x= 35.353535.... -----eq.2
By subtracting eq1. one eq.2

100x -x = 35.353535...... - 0.35353535....
99x = 35
x = 35/99