How to convert 319.749375 as a fraction

Question: What is 319.749375 as a fraction?


Answer: 319.749375 as a fraction is 127580/399


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How to convert 319.749375 as a fraction?

Solution:319.749375 as a fraction is 127580/399

Step 1:

The first step to converting 319.749375 to a fraction is to re-write 319.749375 in the form p/q where p and q are both positive integers. To start with, 319.749375 can be written as simply 319.749375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 319.749375, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 319.749375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 319.749375/1 each by 1000000:

319749375/10 / 1000000/10 = 319749375 / 1000000

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 319.749375 as a fraction:

127580/399 / 1

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