How to convert 2.21749 as a fraction

Question: What is 2.21749 as a fraction?


Answer: 2.21749 as a fraction is 989/446


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How to convert 2.21749 as a fraction?

Solution:2.21749 as a fraction is 989/446

Step 1:

The first step to converting 2.21749 to a fraction is to re-write 2.21749 in the form p/q where p and q are both positive integers. To start with, 2.21749 can be written as simply 2.21749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.21749, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.21749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.21749/1 each by 100000:

221749/10 / 100000/10 = 221749 / 100000

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 2.21749 as a fraction:

989/446 / 1

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