How to convert 14.4198302375 as a fraction

Question: What is 14.4198302375 as a fraction?


Answer: 14.4198302375 as a fraction is 4946/343


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How to convert 14.4198302375 as a fraction?

Solution:14.4198302375 as a fraction is 4946/343

Step 1:

The first step to converting 14.4198302375 to a fraction is to re-write 14.4198302375 in the form p/q where p and q are both positive integers. To start with, 14.4198302375 can be written as simply 14.4198302375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 14.4198302375, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 14.4198302375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 14.4198302375/1 each by 10000000000:

144198302375/10 / 10000000000/10 = 144198302375 / 10000000000

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 14.4198302375 as a fraction:

4946/343 / 1

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