How to convert 3823.4375 as a fraction

Question: What is 3823.4375 as a fraction?


Answer: 3823.4375 as a fraction is 61175/16


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How to convert 3823.4375 as a fraction?

Solution:3823.4375 as a fraction is 61175/16

Step 1:

The first step to converting 3823.4375 to a fraction is to re-write 3823.4375 in the form p/q where p and q are both positive integers. To start with, 3823.4375 can be written as simply 3823.4375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3823.4375, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3823.4375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3823.4375/1 each by 10000:

38234375/10 / 10000/10 = 38234375 / 10000

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 3823.4375 as a fraction:

61175/16 / 1

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