Question

Which simplified fraction is equal to

Answer 1

Let x = 0.177777...

Since there is only 1 repeating digit, we use 10^1 as a multiplier.

10^1 = 10

10x = 1.777777...

- x = 0.177777...

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9x = 1.6

x = 1.6/9

x = 16/90 = 8/45

Answer: Second choice, 8/45

Answer 2

x = 0.17(repeating 7) (1st)

10x = 1.77 (2nd)

subtract (1st) from (2n)

9x = 1.77 - 0.17

9x = 1.6

90x = 16

x = 16/90

x = 8/45

answer

8/45