How to convert 395.21264402347 as a fraction

Question: What is 395.21264402347 as a fraction?


Answer: 395.21264402347 as a fraction is 18575/47


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How to convert 395.21264402347 as a fraction?

Solution:395.21264402347 as a fraction is 18575/47

Step 1:

The first step to converting 395.21264402347 to a fraction is to re-write 395.21264402347 in the form p/q where p and q are both positive integers. To start with, 395.21264402347 can be written as simply 395.21264402347/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 395.21264402347, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 395.21264402347/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 395.21264402347/1 each by 100000000000:

39521264402347/10 / 100000000000/10 = 39521264402347 / 100000000000

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 395.21264402347 as a fraction:

18575/47 / 1

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