How to convert 421.82306078749 as a fraction

Question: What is 421.82306078749 as a fraction?


Answer: 421.82306078749 as a fraction is 47666/113


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How to convert 421.82306078749 as a fraction?

Solution:421.82306078749 as a fraction is 47666/113

Step 1:

The first step to converting 421.82306078749 to a fraction is to re-write 421.82306078749 in the form p/q where p and q are both positive integers. To start with, 421.82306078749 can be written as simply 421.82306078749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 421.82306078749, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 421.82306078749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 421.82306078749/1 each by 100000000000:

42182306078749/10 / 100000000000/10 = 42182306078749 / 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 421.82306078749 as a fraction:

47666/113 / 1

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