How to convert 754.42214842978 as a fraction

Question: What is 754.42214842978 as a fraction?


Answer: 754.42214842978 as a fraction is 33949/45


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How to convert 754.42214842978 as a fraction?

Solution:754.42214842978 as a fraction is 33949/45

Step 1:

The first step to converting 754.42214842978 to a fraction is to re-write 754.42214842978 in the form p/q where p and q are both positive integers. To start with, 754.42214842978 can be written as simply 754.42214842978/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 754.42214842978, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 754.42214842978/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 754.42214842978/1 each by 100000000000:

75442214842978/10 / 100000000000/10 = 75442214842978 / 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 754.42214842978 as a fraction:

33949/45 / 1

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