How to convert 523.8125 as a fraction

Question: What is 523.8125 as a fraction?


Answer: 523.8125 as a fraction is 8381/16


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How to convert 523.8125 as a fraction?

Solution:523.8125 as a fraction is 8381/16

Step 1:

The first step to converting 523.8125 to a fraction is to re-write 523.8125 in the form p/q where p and q are both positive integers. To start with, 523.8125 can be written as simply 523.8125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 523.8125, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 523.8125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 523.8125/1 each by 10000:

5238125/10 / 10000/10 = 5238125 / 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 523.8125 as a fraction:

8381/16 / 1

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