How to convert 701.82579755898 as a fraction

Question: What is 701.82579755898 as a fraction?


Answer: 701.82579755898 as a fraction is 16142/23


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How to convert 701.82579755898 as a fraction?

Solution:701.82579755898 as a fraction is 16142/23

Step 1:

The first step to converting 701.82579755898 to a fraction is to re-write 701.82579755898 in the form p/q where p and q are both positive integers. To start with, 701.82579755898 can be written as simply 701.82579755898/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 701.82579755898, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 701.82579755898/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 701.82579755898/1 each by 100000000000:

70182579755898/10 / 100000000000/10 = 70182579755898 / 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 701.82579755898 as a fraction:

16142/23 / 1

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