How to convert 21.412023259998 as a fraction

Question: What is 21.412023259998 as a fraction?


Answer: 21.412023259998 as a fraction is 4625/216


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How to convert 21.412023259998 as a fraction?

Solution:21.412023259998 as a fraction is 4625/216

Step 1:

The first step to converting 21.412023259998 to a fraction is to re-write 21.412023259998 in the form p/q where p and q are both positive integers. To start with, 21.412023259998 can be written as simply 21.412023259998/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 21.412023259998, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 21.412023259998/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 21.412023259998/1 each by 1000000000000:

21412023259998/10 / 1000000000000/10 = 21412023259998 / 1000000000000

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 21.412023259998 as a fraction:

4625/216 / 1

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