How to convert 49.211465705822 as a fraction

Question: What is 49.211465705822 as a fraction?


Answer: 49.211465705822 as a fraction is 11171/227


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How to convert 49.211465705822 as a fraction?

Solution:49.211465705822 as a fraction is 11171/227

Step 1:

The first step to converting 49.211465705822 to a fraction is to re-write 49.211465705822 in the form p/q where p and q are both positive integers. To start with, 49.211465705822 can be written as simply 49.211465705822/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 49.211465705822, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 49.211465705822/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 49.211465705822/1 each by 1000000000000:

49211465705822/10 / 1000000000000/10 = 49211465705822 / 1000000000000

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 49.211465705822 as a fraction:

11171/227 / 1

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