How to convert 37724.115 as a fraction

Question: What is 37724.115 as a fraction?


Answer: 37724.115 as a fraction is 301793/8


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How to convert 37724.115 as a fraction?

Solution:37724.115 as a fraction is 301793/8

Step 1:

The first step to converting 37724.115 to a fraction is to re-write 37724.115 in the form p/q where p and q are both positive integers. To start with, 37724.115 can be written as simply 37724.115/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 37724.115, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 37724.115/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 37724.115/1 each by 1000:

37724115/10 / 1000/10 = 37724115 / 1000

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 37724.115 as a fraction:

301793/8 / 1

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