How to convert 0.398437499625 as a fraction

Question: What is 0.398437499625 as a fraction?


Answer: 0.398437499625 as a fraction is 51/128


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How to convert 0.398437499625 as a fraction?

Solution:0.398437499625 as a fraction is 51/128

Step 1:

The first step to converting 0.398437499625 to a fraction is to re-write 0.398437499625 in the form p/q where p and q are both positive integers. To start with, 0.398437499625 can be written as simply 0.398437499625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.398437499625, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.398437499625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.398437499625/1 each by 1000000000000:

0398437499625/10 / 1000000000000/10 = 0398437499625 / 1000000000000

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 0.398437499625 as a fraction:

51/128 / 1

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