Question

Which of the following represents 0.052 as a fraction in simplest form? Note in the original question there is a line over .052 so account for that in the math

Answer 1

0.052052052... = 52/999

Explanation:

0.052 with a bar over the 052 means that 052 is repeating.

The number is 0.052052052..., a never ending decimal with repeating 052 as shown.

We need to write a corresponding fraction.

Let x = 0.052052052...

Then, 1000x = 52.052052052...

Now we subtract.

1000x = 52.052052052...

(-) x = 0.052052052052...

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999x = 52

x = 52/999

Answer: 0.052052052... = 52/999