How to convert 12.824315 as a fraction

Question: What is 12.824315 as a fraction?


Answer: 12.824315 as a fraction is 949/74


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How to convert 12.824315 as a fraction?

Solution:12.824315 as a fraction is 949/74

Step 1:

The first step to converting 12.824315 to a fraction is to re-write 12.824315 in the form p/q where p and q are both positive integers. To start with, 12.824315 can be written as simply 12.824315/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 12.824315, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 12.824315/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 12.824315/1 each by 1000000:

12824315/10 / 1000000/10 = 12824315 / 1000000

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 12.824315 as a fraction:

949/74 / 1

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