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

1 Answer

5 votes

Answer:

133/900

Step-by-step 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:


0.14777\ldots=(133)/(900)

So, the answer is 133/900

User Mohammad Dayyan
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