How to convert 754.13148571118 as a fraction

Question: What is 754.13148571118 as a fraction?


Answer: 754.13148571118 as a fraction is 28657/38


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How to convert 754.13148571118 as a fraction?

Solution:754.13148571118 as a fraction is 28657/38

Step 1:

The first step to converting 754.13148571118 to a fraction is to re-write 754.13148571118 in the form p/q where p and q are both positive integers. To start with, 754.13148571118 can be written as simply 754.13148571118/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 754.13148571118, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 754.13148571118/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 754.13148571118/1 each by 100000000000:

75413148571118/10 / 100000000000/10 = 75413148571118 / 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 754.13148571118 as a fraction:

28657/38 / 1

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