How to convert 1155.656757813 as a fraction

Question: What is 1155.656757813 as a fraction?


Answer: 1155.656757813 as a fraction is 36981/32


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How to convert 1155.656757813 as a fraction?

Solution:1155.656757813 as a fraction is 36981/32

Step 1:

The first step to converting 1155.656757813 to a fraction is to re-write 1155.656757813 in the form p/q where p and q are both positive integers. To start with, 1155.656757813 can be written as simply 1155.656757813/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1155.656757813, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1155.656757813/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1155.656757813/1 each by 1000000000:

1155656757813/10 / 1000000000/10 = 1155656757813 / 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 1155.656757813 as a fraction:

36981/32 / 1

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