How to convert 649.3798 as a fraction

Question: What is 649.3798 as a fraction?


Answer: 649.3798 as a fraction is 18832/29


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How to convert 649.3798 as a fraction?

Solution:649.3798 as a fraction is 18832/29

Step 1:

The first step to converting 649.3798 to a fraction is to re-write 649.3798 in the form p/q where p and q are both positive integers. To start with, 649.3798 can be written as simply 649.3798/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 649.3798, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 649.3798/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 649.3798/1 each by 10000:

6493798/10 / 10000/10 = 6493798 / 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 649.3798 as a fraction:

18832/29 / 1

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