How to convert 8.30415 as a fraction

Question: What is 8.30415 as a fraction?


Answer: 8.30415 as a fraction is 1802/217


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How to convert 8.30415 as a fraction?

Solution:8.30415 as a fraction is 1802/217

Step 1:

The first step to converting 8.30415 to a fraction is to re-write 8.30415 in the form p/q where p and q are both positive integers. To start with, 8.30415 can be written as simply 8.30415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8.30415, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.30415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8.30415/1 each by 100000:

830415/10 / 100000/10 = 830415 / 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 8.30415 as a fraction:

1802/217 / 1

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