How to convert 213.7968755625 as a fraction

Question: What is 213.7968755625 as a fraction?


Answer: 213.7968755625 as a fraction is 13683/64


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How to convert 213.7968755625 as a fraction?

Solution:213.7968755625 as a fraction is 13683/64

Step 1:

The first step to converting 213.7968755625 to a fraction is to re-write 213.7968755625 in the form p/q where p and q are both positive integers. To start with, 213.7968755625 can be written as simply 213.7968755625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 213.7968755625, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 213.7968755625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 213.7968755625/1 each by 10000000000:

2137968755625/10 / 10000000000/10 = 2137968755625 / 10000000000

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 213.7968755625 as a fraction:

13683/64 / 1

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