How to convert 1140.208345625 as a fraction

Question: What is 1140.208345625 as a fraction?


Answer: 1140.208345625 as a fraction is 27365/24


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How to convert 1140.208345625 as a fraction?

Solution:1140.208345625 as a fraction is 27365/24

Step 1:

The first step to converting 1140.208345625 to a fraction is to re-write 1140.208345625 in the form p/q where p and q are both positive integers. To start with, 1140.208345625 can be written as simply 1140.208345625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1140.208345625, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1140.208345625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1140.208345625/1 each by 1000000000:

1140208345625/10 / 1000000000/10 = 1140208345625 / 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 1140.208345625 as a fraction:

27365/24 / 1

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