How to convert 310.165390625 as a fraction

Question: What is 310.165390625 as a fraction?


Answer: 310.165390625 as a fraction is 39391/127


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How to convert 310.165390625 as a fraction?

Solution:310.165390625 as a fraction is 39391/127

Step 1:

The first step to converting 310.165390625 to a fraction is to re-write 310.165390625 in the form p/q where p and q are both positive integers. To start with, 310.165390625 can be written as simply 310.165390625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 310.165390625, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 310.165390625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 310.165390625/1 each by 1000000000:

310165390625/10 / 1000000000/10 = 310165390625 / 1000000000

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 310.165390625 as a fraction:

39391/127 / 1

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