How to convert 5824.414375 as a fraction

Question: What is 5824.414375 as a fraction?


Answer: 5824.414375 as a fraction is 69893/12


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How to convert 5824.414375 as a fraction?

Solution:5824.414375 as a fraction is 69893/12

Step 1:

The first step to converting 5824.414375 to a fraction is to re-write 5824.414375 in the form p/q where p and q are both positive integers. To start with, 5824.414375 can be written as simply 5824.414375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5824.414375, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5824.414375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5824.414375/1 each by 1000000:

5824414375/10 / 1000000/10 = 5824414375 / 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 5824.414375 as a fraction:

69893/12 / 1

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