Question

Express 0.365 (Bar over 365 ) as a fraction in simplest form.

Answer 1

Answer:

Step-by-step explanation:

x = 0.365365... -- 1st equ

1000x = 365.365365... -- 2nd equ

2nd equ - 1st equ = 2nd equ - 1st equ

1000x - x = 365.365...- 0.365...

999x = 365

x = 365/999

Answer 2

365/999

Step-by-step explanation:

Let x = 0.365365365...

so,

1000x = 365.365365365...

1000x = 365 + 0.365365365...

1000x = 365 + x

1000x - x = 365

999x = 365

x = 365/999

Thus, the simplest form of 0.365365365... is 365/999.

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