Question

express 0.4777.... in p/q form

Answer 1

Heya !!!

Let X = 0.47 ( bar on 7)

Then X = 0.477 -----(1)

Multiple equation (1) by 10 we get,

10X = 4.77 ----(2)

Again multiply equation (2) by 10 we get,

100X = 47.77 ------(3)

Subtract equation (2) from equation (3) we get,

100X = 47.77

10X = 4.77

---------------

90X= 43

X = 43/90 [ P/Q from ].

★ HOPE IT WILL HELP YOU★

Answer 2

let x=0.477......--------[1]
multiply 10 to both sides
10x=4.777......-------------[2]
multiply again by 10 both sides
100x=47.777......------------[3]
now,
       subtract equation 2 from 3. _
                                    100x=47.7_
                                   -    10x=4. 7
this equals to
                                       
                                90x=43.0
                               x=43/90     ans...