How to convert 1087.878212121 as a fraction

Question: What is 1087.878212121 as a fraction?


Answer: 1087.878212121 as a fraction is 35900/33


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How to convert 1087.878212121 as a fraction?

Solution:1087.878212121 as a fraction is 35900/33

Step 1:

The first step to converting 1087.878212121 to a fraction is to re-write 1087.878212121 in the form p/q where p and q are both positive integers. To start with, 1087.878212121 can be written as simply 1087.878212121/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1087.878212121, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1087.878212121/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1087.878212121/1 each by 1000000000:

1087878212121/10 / 1000000000/10 = 1087878212121 / 1000000000

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 1087.878212121 as a fraction:

35900/33 / 1

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