Question

Expresss 0.666....+ 0.7777.....+ 0.47777..... in the form of p/ q

Answer 1

Step-by-step explanation:

1) 0.66666 = x -------------1

( how many number of digit repeated ,

for example 0.33333.. = 1 digit repeated so multiply by 10

0.27272727....= 2 digit repeated so multiply by 100

3 digit means = 1000... and so on )

10 x = 6.6666666 ---------------2

now subtract 1 from 2

10 x - x = 6

9 x = 6

$x = \frac{6}{9} = \frac{2}{3}$

2) 0.7777777... = x ----------1

10 x = 7.777777----------2

2 - 1 we get

9 x = 7

x = 7/9

3) 0.47777777 ... = x

10x = 47.7777...

9 x = 4.3

x = 4.3 / 9 or 43 / 90

hope u understand!.

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