How to convert 3948.12375 as a fraction

Question: What is 3948.12375 as a fraction?


Answer: 3948.12375 as a fraction is 31585/8


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How to convert 3948.12375 as a fraction?

Solution:3948.12375 as a fraction is 31585/8

Step 1:

The first step to converting 3948.12375 to a fraction is to re-write 3948.12375 in the form p/q where p and q are both positive integers. To start with, 3948.12375 can be written as simply 3948.12375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3948.12375, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3948.12375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3948.12375/1 each by 100000:

394812375/10 / 100000/10 = 394812375 / 100000

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 3948.12375 as a fraction:

31585/8 / 1

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