How to convert 398.75116110538 as a fraction

Question: What is 398.75116110538 as a fraction?


Answer: 398.75116110538 as a fraction is 84934/213


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How to convert 398.75116110538 as a fraction?

Solution:398.75116110538 as a fraction is 84934/213

Step 1:

The first step to converting 398.75116110538 to a fraction is to re-write 398.75116110538 in the form p/q where p and q are both positive integers. To start with, 398.75116110538 can be written as simply 398.75116110538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 398.75116110538, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 398.75116110538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 398.75116110538/1 each by 100000000000:

39875116110538/10 / 100000000000/10 = 39875116110538 / 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 398.75116110538 as a fraction:

84934/213 / 1

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