AndenX62943 AndenX62943
  • 25-10-2022
  • Mathematics
contestada

Convert decimal to 0.147 to fraction ( the last digit 7 repeating)

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RaymereO624742 RaymereO624742
  • 25-10-2022

Answer:

133/900

Explanation:

To convert the decimal 0.147777 to a fraction, we first identify the decimal part, so we have 147 as a decimal part.

Then, we subtract 14 because that part is not repeating. So:

147 - 14 = 133

Now, we need to divide by 9 to get the repeating part, but the repeating part starts at the third decimal place, so we will divide by 900 instead of 9.

Therefore, 0.147777... as a decimal is:

[tex]0.14777\ldots=\frac{133}{900}[/tex]

So, the answer is 133/900

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