How to convert 628.42571405838 as a fraction

Question: What is 628.42571405838 as a fraction?


Answer: 628.42571405838 as a fraction is 29536/47


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How to convert 628.42571405838 as a fraction?

Solution:628.42571405838 as a fraction is 29536/47

Step 1:

The first step to converting 628.42571405838 to a fraction is to re-write 628.42571405838 in the form p/q where p and q are both positive integers. To start with, 628.42571405838 can be written as simply 628.42571405838/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 628.42571405838, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 628.42571405838/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 628.42571405838/1 each by 100000000000:

62842571405838/10 / 100000000000/10 = 62842571405838 / 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 628.42571405838 as a fraction:

29536/47 / 1

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