How to convert 138.72140525913 as a fraction

Question: What is 138.72140525913 as a fraction?


Answer: 138.72140525913 as a fraction is 8462/61


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How to convert 138.72140525913 as a fraction?

Solution:138.72140525913 as a fraction is 8462/61

Step 1:

The first step to converting 138.72140525913 to a fraction is to re-write 138.72140525913 in the form p/q where p and q are both positive integers. To start with, 138.72140525913 can be written as simply 138.72140525913/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 138.72140525913, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 138.72140525913/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 138.72140525913/1 each by 100000000000:

13872140525913/10 / 100000000000/10 = 13872140525913 / 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 138.72140525913 as a fraction:

8462/61 / 1

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