Question

how to represent 0.47 bar. over 7 on p/q form???

Answer 1

0.47 bar we can represent like this

0.47+0.0047+0.000047.....................
so it is in G.P ( Geometric progression)

so
a = 0.47

r = T2/T1 = 0.0047/0.47 = 0.01

S(infinity) = ?

S(infinity) = a/(1-r)

S(infinity) = 0.47/(1-0.01)

S(infinity) = 0.47/0.99

S(infinity) = (47/100)/(99/100)

S(infinity) = 47/100×100/99

S(infinity) = 47/99


0.47 bar in p/q form is 47/99

Answer 2

Let A=0.47bar
Then 100A=47.47bar
So 100A-A=47
Therefore 99A=47
A=47÷99