How to convert 218.13108649378 as a fraction

Question: What is 218.13108649378 as a fraction?


Answer: 218.13108649378 as a fraction is 13306/61


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How to convert 218.13108649378 as a fraction?

Solution:218.13108649378 as a fraction is 13306/61

Step 1:

The first step to converting 218.13108649378 to a fraction is to re-write 218.13108649378 in the form p/q where p and q are both positive integers. To start with, 218.13108649378 can be written as simply 218.13108649378/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 218.13108649378, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 218.13108649378/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 218.13108649378/1 each by 100000000000:

21813108649378/10 / 100000000000/10 = 21813108649378 / 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 218.13108649378 as a fraction:

13306/61 / 1

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