How to convert 0.87812500001875 as a fraction

Question: What is 0.87812500001875 as a fraction?


Answer: 0.87812500001875 as a fraction is 281/320


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How to convert 0.87812500001875 as a fraction?

Solution:0.87812500001875 as a fraction is 281/320

Step 1:

The first step to converting 0.87812500001875 to a fraction is to re-write 0.87812500001875 in the form p/q where p and q are both positive integers. To start with, 0.87812500001875 can be written as simply 0.87812500001875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.87812500001875, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.87812500001875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.87812500001875/1 each by 100000000000000:

087812500001875/10 / 100000000000000/10 = 087812500001875 / 100000000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 0.87812500001875 as a fraction:

281/320 / 1

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