Answer Posted / ahmed eldesokey

(7+77+777+............) == 7 * ( 1 + 11 + 111 + .... )

so (7+77+777+............ ) / ( 1 + 11 + 111 + .... )

is the same as

7 * ( 1 + 11 + 111 + .... ) / ( 1 + 11 + 111 + .... )

simply = 7

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