How to convert 39.724449624585 as a fraction

Question: What is 39.724449624585 as a fraction?


Answer: 39.724449624585 as a fraction is 8938/225


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How to convert 39.724449624585 as a fraction?

Solution:39.724449624585 as a fraction is 8938/225

Step 1:

The first step to converting 39.724449624585 to a fraction is to re-write 39.724449624585 in the form p/q where p and q are both positive integers. To start with, 39.724449624585 can be written as simply 39.724449624585/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 39.724449624585, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 39.724449624585/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 39.724449624585/1 each by 1000000000000:

39724449624585/10 / 1000000000000/10 = 39724449624585 / 1000000000000

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 39.724449624585 as a fraction:

8938/225 / 1

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