How to convert 37.926412811307 as a fraction

Question: What is 37.926412811307 as a fraction?


Answer: 37.926412811307 as a fraction is 8761/231


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How to convert 37.926412811307 as a fraction?

Solution:37.926412811307 as a fraction is 8761/231

Step 1:

The first step to converting 37.926412811307 to a fraction is to re-write 37.926412811307 in the form p/q where p and q are both positive integers. To start with, 37.926412811307 can be written as simply 37.926412811307/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 37.926412811307, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 37.926412811307/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 37.926412811307/1 each by 1000000000000:

37926412811307/10 / 1000000000000/10 = 37926412811307 / 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 37.926412811307 as a fraction:

8761/231 / 1

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