How to convert 785.69375 as a fraction

Question: What is 785.69375 as a fraction?


Answer: 785.69375 as a fraction is 38499/49


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How to convert 785.69375 as a fraction?

Solution:785.69375 as a fraction is 38499/49

Step 1:

The first step to converting 785.69375 to a fraction is to re-write 785.69375 in the form p/q where p and q are both positive integers. To start with, 785.69375 can be written as simply 785.69375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 785.69375, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 785.69375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 785.69375/1 each by 100000:

78569375/10 / 100000/10 = 78569375 / 100000

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 785.69375 as a fraction:

38499/49 / 1

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