Question

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Answer 1

Answer:

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Answer 2

1.) Let x = 0.666..... eq.1

10x = 6.666..... eq.2

eq.2 - eq.1. = 10x-x = 6.666... - 0.666....

= 9x = 6

= x = 6/9

= x = 2/3

Hence, 0.6....... = 2/3

2.) Let x = 0.4777....... eq.1.

10x = 4.777....... eq.2.

eq.2. - eq.1. = 10x - x = 4.777... - 0.477....

= 9x = 4.3

= x = 4.3/9

= x = 43/90

Hence , 0.477......... = 43/90

3.) Let x = 0.001001001.... eq.1.

1000x = 1.001001001.... eq.2.

eq.2 - eq.1. = 1000x - x = 1.001001001... - 0.001001..

999x = 1

x = 1/999

Hence, 0.001001001...... = 1/999

HOPE IT WOULD HELP YOU

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