How to convert 3970.824 as a fraction

Question: What is 3970.824 as a fraction?


Answer: 3970.824 as a fraction is 67504/17


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How to convert 3970.824 as a fraction?

Solution:3970.824 as a fraction is 67504/17

Step 1:

The first step to converting 3970.824 to a fraction is to re-write 3970.824 in the form p/q where p and q are both positive integers. To start with, 3970.824 can be written as simply 3970.824/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3970.824, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3970.824/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3970.824/1 each by 1000:

3970824/10 / 1000/10 = 3970824 / 1000

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 3970.824 as a fraction:

67504/17 / 1

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