Question

Show that 0.47777777.... Can be expressed in the form p/q ,where p and q are integers and q is not equal to 0

Answer 1

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Answer 2

let x=0.4777...

10*x=10*0.477.. ( * by 10)
10x=4.777..
10x=4+0.777...
10x-x=4.777....-x. (subtracting x)
9x=4.777...-0.777...
9x=4.3
x=4.3/9
x=43/90