How to convert 853.438205625 as a fraction

Question: What is 853.438205625 as a fraction?


Answer: 853.438205625 as a fraction is 13655/16


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How to convert 853.438205625 as a fraction?

Solution:853.438205625 as a fraction is 13655/16

Step 1:

The first step to converting 853.438205625 to a fraction is to re-write 853.438205625 in the form p/q where p and q are both positive integers. To start with, 853.438205625 can be written as simply 853.438205625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 853.438205625, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 853.438205625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 853.438205625/1 each by 1000000000:

853438205625/10 / 1000000000/10 = 853438205625 / 1000000000

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 853.438205625 as a fraction:

13655/16 / 1

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