Solve and show your work for each question.
(1) what is 0.36 repeating expressed as a fraction in simplest form?
(2) what is 0.36 only 6 repeating expressed as a fraction in simplest form?
(3) what is 036 expressed as a fraction in simplest form?

Part 1).

let,

x = 0.363636...    _______(1)

multiply both sides by 100, we get

100x = 36.363636... ______(2)

Subtract equation (1) from (2),

100x - x = ( 36.363636... ) - ( 0.363636... )

99x = 36

Therefore, in simplest form is .

Part 2).

let,

x = 0.3666...    _______(1)

multiply both sides by 10, we get

10x = 3.6666... ______(2)

Subtract equation (1) from (2),

10x - x = ( 3.6666... ) - ( 0.3666... )

9x = 3.3

Therefore, in simplest form is .

Part 3).

let,

In fraction, we get

Therefore, in simplest form is .

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

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