How to convert 3.780438716399 as a fraction

Question: What is 3.780438716399 as a fraction?


Answer: 3.780438716399 as a fraction is 1894/501


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How to convert 3.780438716399 as a fraction?

Solution:3.780438716399 as a fraction is 1894/501

Step 1:

The first step to converting 3.780438716399 to a fraction is to re-write 3.780438716399 in the form p/q where p and q are both positive integers. To start with, 3.780438716399 can be written as simply 3.780438716399/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.780438716399, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.780438716399/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.780438716399/1 each by 1000000000000:

3780438716399/10 / 1000000000000/10 = 3780438716399 / 1000000000000

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 3.780438716399 as a fraction:

1894/501 / 1

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