How to convert 2.78849304198 as a fraction

Question: What is 2.78849304198 as a fraction?


Answer: 2.78849304198 as a fraction is 1648/591


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How to convert 2.78849304198 as a fraction?

Solution:2.78849304198 as a fraction is 1648/591

Step 1:

The first step to converting 2.78849304198 to a fraction is to re-write 2.78849304198 in the form p/q where p and q are both positive integers. To start with, 2.78849304198 can be written as simply 2.78849304198/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.78849304198, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.78849304198/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.78849304198/1 each by 100000000000:

278849304198/10 / 100000000000/10 = 278849304198 / 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 2.78849304198 as a fraction:

1648/591 / 1

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