How to convert 49.40828101398 as a fraction

Question: What is 49.40828101398 as a fraction?


Answer: 49.40828101398 as a fraction is 8350/169


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How to convert 49.40828101398 as a fraction?

Solution:49.40828101398 as a fraction is 8350/169

Step 1:

The first step to converting 49.40828101398 to a fraction is to re-write 49.40828101398 in the form p/q where p and q are both positive integers. To start with, 49.40828101398 can be written as simply 49.40828101398/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 49.40828101398, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 49.40828101398/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 49.40828101398/1 each by 100000000000:

4940828101398/10 / 100000000000/10 = 4940828101398 / 100000000000

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 49.40828101398 as a fraction:

8350/169 / 1

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