How to convert 379.12381222742 as a fraction

Question: What is 379.12381222742 as a fraction?


Answer: 379.12381222742 as a fraction is 39808/105


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How to convert 379.12381222742 as a fraction?

Solution:379.12381222742 as a fraction is 39808/105

Step 1:

The first step to converting 379.12381222742 to a fraction is to re-write 379.12381222742 in the form p/q where p and q are both positive integers. To start with, 379.12381222742 can be written as simply 379.12381222742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 379.12381222742, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 379.12381222742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 379.12381222742/1 each by 100000000000:

37912381222742/10 / 100000000000/10 = 37912381222742 / 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 379.12381222742 as a fraction:

39808/105 / 1

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