How to convert 421.9905 as a fraction

Question: What is 421.9905 as a fraction?


Answer: 421.9905 as a fraction is 44309/105


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How to convert 421.9905 as a fraction?

Solution:421.9905 as a fraction is 44309/105

Step 1:

The first step to converting 421.9905 to a fraction is to re-write 421.9905 in the form p/q where p and q are both positive integers. To start with, 421.9905 can be written as simply 421.9905/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 421.9905, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 421.9905/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 421.9905/1 each by 10000:

4219905/10 / 10000/10 = 4219905 / 10000

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 421.9905 as a fraction:

44309/105 / 1

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