How to convert 478.17946206513 as a fraction

Question: What is 478.17946206513 as a fraction?


Answer: 478.17946206513 as a fraction is 18649/39


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How to convert 478.17946206513 as a fraction?

Solution:478.17946206513 as a fraction is 18649/39

Step 1:

The first step to converting 478.17946206513 to a fraction is to re-write 478.17946206513 in the form p/q where p and q are both positive integers. To start with, 478.17946206513 can be written as simply 478.17946206513/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 478.17946206513, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 478.17946206513/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 478.17946206513/1 each by 100000000000:

47817946206513/10 / 100000000000/10 = 47817946206513 / 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 478.17946206513 as a fraction:

18649/39 / 1

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