How to convert 3.678047223772 as a fraction

Question: What is 3.678047223772 as a fraction?


Answer: 3.678047223772 as a fraction is 754/205


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How to convert 3.678047223772 as a fraction?

Solution:3.678047223772 as a fraction is 754/205

Step 1:

The first step to converting 3.678047223772 to a fraction is to re-write 3.678047223772 in the form p/q where p and q are both positive integers. To start with, 3.678047223772 can be written as simply 3.678047223772/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.678047223772, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.678047223772/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.678047223772/1 each by 1000000000000:

3678047223772/10 / 1000000000000/10 = 3678047223772 / 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 3.678047223772 as a fraction:

754/205 / 1

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