Question

Express thefollowing in the form p/q,where P and Q are integers and q is not =0 (a) 0.47(baar on 7) (b) 0.235(baar on 5)​

Answer 1

Answer:

(a) 0.4777...

ans.

let x be 0.4777...

then,

x = 0.4777...

10x = 4.777...

100x = 47.777...

100x - 10x = 47.777... - 4.777...

90x = 43

x = 43/90

(b) 0.23555...

ans.

let x be 0.23555...

then,

x = 0.23555...

100x = 23.555...

1000x = 235.555...

1000x - 100x = 235.555... - 23.555...

900x = 212

x = 212/900

= 53/225