Convert 0.72¯¯¯¯¯ to a rational number in simplest form.(1 point)

Question

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Answer 1

0.72¯¯¯¯¯ can be represented as the infinite decimal 0.727272...

Let x = 0.727272...

Then, 100x = 72.727272...

Subtracting x from 100x, we get:

(100x - x) = (72.727272... - 0.727272...)

99x = 72

Dividing both sides by 99:

x = 72/99

This rational number can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 9:

x = (72/9) / (99/9)

x = 8/11

Therefore, 0.72¯¯¯¯¯ can be represented as the rational number 8/11 in simplest form.

Answer 2

Convert 0.27¯¯¯¯¯
to a rational number in simplest form.(1 point)
Responses

311
Start Fraction 3 over 11 end fraction

27100
Start Fraction 27 over 100 end fraction

127
Start Fraction 1 over 27 end fraction

2799