How to convert 218.13735 as a fraction

Question: What is 218.13735 as a fraction?


Answer: 218.13735 as a fraction is 11125/51


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How to convert 218.13735 as a fraction?

Solution:218.13735 as a fraction is 11125/51

Step 1:

The first step to converting 218.13735 to a fraction is to re-write 218.13735 in the form p/q where p and q are both positive integers. To start with, 218.13735 can be written as simply 218.13735/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 218.13735, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 218.13735/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 218.13735/1 each by 100000:

21813735/10 / 100000/10 = 21813735 / 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 218.13735 as a fraction:

11125/51 / 1

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