How to convert 521.78219971347 as a fraction

Question: What is 521.78219971347 as a fraction?


Answer: 521.78219971347 as a fraction is 12001/23


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How to convert 521.78219971347 as a fraction?

Solution:521.78219971347 as a fraction is 12001/23

Step 1:

The first step to converting 521.78219971347 to a fraction is to re-write 521.78219971347 in the form p/q where p and q are both positive integers. To start with, 521.78219971347 can be written as simply 521.78219971347/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 521.78219971347, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 521.78219971347/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 521.78219971347/1 each by 100000000000:

52178219971347/10 / 100000000000/10 = 52178219971347 / 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 521.78219971347 as a fraction:

12001/23 / 1

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