How to convert 75.205760498159 as a fraction

Question: What is 75.205760498159 as a fraction?


Answer: 75.205760498159 as a fraction is 15718/209


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How to convert 75.205760498159 as a fraction?

Solution:75.205760498159 as a fraction is 15718/209

Step 1:

The first step to converting 75.205760498159 to a fraction is to re-write 75.205760498159 in the form p/q where p and q are both positive integers. To start with, 75.205760498159 can be written as simply 75.205760498159/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 75.205760498159, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 75.205760498159/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 75.205760498159/1 each by 1000000000000:

75205760498159/10 / 1000000000000/10 = 75205760498159 / 1000000000000

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 75.205760498159 as a fraction:

15718/209 / 1

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