How to convert 371.416 as a fraction

Question: What is 371.416 as a fraction?


Answer: 371.416 as a fraction is 41970/113


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How to convert 371.416 as a fraction?

Solution:371.416 as a fraction is 41970/113

Step 1:

The first step to converting 371.416 to a fraction is to re-write 371.416 in the form p/q where p and q are both positive integers. To start with, 371.416 can be written as simply 371.416/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 371.416, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 371.416/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 371.416/1 each by 1000:

371416/10 / 1000/10 = 371416 / 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 371.416 as a fraction:

41970/113 / 1

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