How to convert 71.825489300517 as a fraction

Question: What is 71.825489300517 as a fraction?


Answer: 71.825489300517 as a fraction is 10702/149


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How to convert 71.825489300517 as a fraction?

Solution:71.825489300517 as a fraction is 10702/149

Step 1:

The first step to converting 71.825489300517 to a fraction is to re-write 71.825489300517 in the form p/q where p and q are both positive integers. To start with, 71.825489300517 can be written as simply 71.825489300517/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 71.825489300517, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 71.825489300517/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 71.825489300517/1 each by 1000000000000:

71825489300517/10 / 1000000000000/10 = 71825489300517 / 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 71.825489300517 as a fraction:

10702/149 / 1

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