How to convert 826.16967814542 as a fraction

Question: What is 826.16967814542 as a fraction?


Answer: 826.16967814542 as a fraction is 43787/53


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How to convert 826.16967814542 as a fraction?

Solution:826.16967814542 as a fraction is 43787/53

Step 1:

The first step to converting 826.16967814542 to a fraction is to re-write 826.16967814542 in the form p/q where p and q are both positive integers. To start with, 826.16967814542 can be written as simply 826.16967814542/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 826.16967814542, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 826.16967814542/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 826.16967814542/1 each by 100000000000:

82616967814542/10 / 100000000000/10 = 82616967814542 / 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 826.16967814542 as a fraction:

43787/53 / 1

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