How to convert 472.71260298412 as a fraction

Question: What is 472.71260298412 as a fraction?


Answer: 472.71260298412 as a fraction is 37817/80


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How to convert 472.71260298412 as a fraction?

Solution:472.71260298412 as a fraction is 37817/80

Step 1:

The first step to converting 472.71260298412 to a fraction is to re-write 472.71260298412 in the form p/q where p and q are both positive integers. To start with, 472.71260298412 can be written as simply 472.71260298412/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 472.71260298412, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 472.71260298412/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 472.71260298412/1 each by 100000000000:

47271260298412/10 / 100000000000/10 = 47271260298412 / 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 472.71260298412 as a fraction:

37817/80 / 1

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