How to convert 398.8174151417 as a fraction

Question: What is 398.8174151417 as a fraction?


Answer: 398.8174151417 as a fraction is 45864/115


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How to convert 398.8174151417 as a fraction?

Solution:398.8174151417 as a fraction is 45864/115

Step 1:

The first step to converting 398.8174151417 to a fraction is to re-write 398.8174151417 in the form p/q where p and q are both positive integers. To start with, 398.8174151417 can be written as simply 398.8174151417/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 398.8174151417, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 398.8174151417/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 398.8174151417/1 each by 10000000000:

3988174151417/10 / 10000000000/10 = 3988174151417 / 10000000000

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 398.8174151417 as a fraction:

45864/115 / 1

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