How to convert 75.539213792695 as a fraction

Question: What is 75.539213792695 as a fraction?


Answer: 75.539213792695 as a fraction is 7705/102


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How to convert 75.539213792695 as a fraction?

Solution:75.539213792695 as a fraction is 7705/102

Step 1:

The first step to converting 75.539213792695 to a fraction is to re-write 75.539213792695 in the form p/q where p and q are both positive integers. To start with, 75.539213792695 can be written as simply 75.539213792695/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 75.539213792695, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 75.539213792695/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 75.539213792695/1 each by 1000000000000:

75539213792695/10 / 1000000000000/10 = 75539213792695 / 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 75.539213792695 as a fraction:

7705/102 / 1

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