How to convert 310.83224455934 as a fraction

Question: What is 310.83224455934 as a fraction?


Answer: 310.83224455934 as a fraction is 46314/149


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How to convert 310.83224455934 as a fraction?

Solution:310.83224455934 as a fraction is 46314/149

Step 1:

The first step to converting 310.83224455934 to a fraction is to re-write 310.83224455934 in the form p/q where p and q are both positive integers. To start with, 310.83224455934 can be written as simply 310.83224455934/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 310.83224455934, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 310.83224455934/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 310.83224455934/1 each by 100000000000:

31083224455934/10 / 100000000000/10 = 31083224455934 / 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 310.83224455934 as a fraction:

46314/149 / 1

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