Question

Express 1.32bar+0.35bar as a fraction in simplest form bar is on 2 and 5 only

Answer 1

i) let x =1.32222.....----(1)
Multiply (1) with 10
10x=13.22222....(2)
Multiply (2) with 10
100x=132.2222...----(3)
Subtract (2) from (3)
90x=119
x=119/90
ii) let y =0.355555....----(1)
10y=3.55555....----(2)
100y=35.5555...----(3)
Subtract (2) from (3)
90y=32
y=32/90
Now
1.3222....+0.355555....
=x+y
=119/90+32/90
=151/90