How to convert 2.218114426344 as a fraction

Question: What is 2.218114426344 as a fraction?


Answer: 2.218114426344 as a fraction is 1200/541


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How to convert 2.218114426344 as a fraction?

Solution:2.218114426344 as a fraction is 1200/541

Step 1:

The first step to converting 2.218114426344 to a fraction is to re-write 2.218114426344 in the form p/q where p and q are both positive integers. To start with, 2.218114426344 can be written as simply 2.218114426344/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.218114426344, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.218114426344/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.218114426344/1 each by 1000000000000:

2218114426344/10 / 1000000000000/10 = 2218114426344 / 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 2.218114426344 as a fraction:

1200/541 / 1

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