How to convert 58.742268345375 as a fraction

Question: What is 58.742268345375 as a fraction?


Answer: 58.742268345375 as a fraction is 5698/97


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How to convert 58.742268345375 as a fraction?

Solution:58.742268345375 as a fraction is 5698/97

Step 1:

The first step to converting 58.742268345375 to a fraction is to re-write 58.742268345375 in the form p/q where p and q are both positive integers. To start with, 58.742268345375 can be written as simply 58.742268345375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 58.742268345375, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 58.742268345375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 58.742268345375/1 each by 1000000000000:

58742268345375/10 / 1000000000000/10 = 58742268345375 / 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 58.742268345375 as a fraction:

5698/97 / 1

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