How to convert 138.12782894727 as a fraction

Question: What is 138.12782894727 as a fraction?


Answer: 138.12782894727 as a fraction is 11879/86


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How to convert 138.12782894727 as a fraction?

Solution:138.12782894727 as a fraction is 11879/86

Step 1:

The first step to converting 138.12782894727 to a fraction is to re-write 138.12782894727 in the form p/q where p and q are both positive integers. To start with, 138.12782894727 can be written as simply 138.12782894727/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 138.12782894727, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 138.12782894727/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 138.12782894727/1 each by 100000000000:

13812782894727/10 / 100000000000/10 = 13812782894727 / 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 138.12782894727 as a fraction:

11879/86 / 1

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