How to convert 3.1314 as a fraction

Question: What is 3.1314 as a fraction?


Answer: 3.1314 as a fraction is 1406/449


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How to convert 3.1314 as a fraction?

Solution:3.1314 as a fraction is 1406/449

Step 1:

The first step to converting 3.1314 to a fraction is to re-write 3.1314 in the form p/q where p and q are both positive integers. To start with, 3.1314 can be written as simply 3.1314/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.1314, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.1314/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.1314/1 each by 10000:

31314/10 / 10000/10 = 31314 / 10000

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 3.1314 as a fraction:

1406/449 / 1

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