How to convert 218.42760217811 as a fraction

Question: What is 218.42760217811 as a fraction?


Answer: 218.42760217811 as a fraction is 31672/145


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How to convert 218.42760217811 as a fraction?

Solution:218.42760217811 as a fraction is 31672/145

Step 1:

The first step to converting 218.42760217811 to a fraction is to re-write 218.42760217811 in the form p/q where p and q are both positive integers. To start with, 218.42760217811 can be written as simply 218.42760217811/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 218.42760217811, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 218.42760217811/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 218.42760217811/1 each by 100000000000:

21842760217811/10 / 100000000000/10 = 21842760217811 / 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 218.42760217811 as a fraction:

31672/145 / 1

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