How to convert 101.58539062381 as a fraction

Question: What is 101.58539062381 as a fraction?


Answer: 101.58539062381 as a fraction is 4165/41


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How to convert 101.58539062381 as a fraction?

Solution:101.58539062381 as a fraction is 4165/41

Step 1:

The first step to converting 101.58539062381 to a fraction is to re-write 101.58539062381 in the form p/q where p and q are both positive integers. To start with, 101.58539062381 can be written as simply 101.58539062381/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 101.58539062381, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 101.58539062381/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 101.58539062381/1 each by 100000000000:

10158539062381/10 / 100000000000/10 = 10158539062381 / 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 101.58539062381 as a fraction:

4165/41 / 1

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