How to convert 138.19166504198 as a fraction

Question: What is 138.19166504198 as a fraction?


Answer: 138.19166504198 as a fraction is 16583/120


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How to convert 138.19166504198 as a fraction?

Solution:138.19166504198 as a fraction is 16583/120

Step 1:

The first step to converting 138.19166504198 to a fraction is to re-write 138.19166504198 in the form p/q where p and q are both positive integers. To start with, 138.19166504198 can be written as simply 138.19166504198/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 138.19166504198, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 138.19166504198/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 138.19166504198/1 each by 100000000000:

13819166504198/10 / 100000000000/10 = 13819166504198 / 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 138.19166504198 as a fraction:

16583/120 / 1

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