How to convert 3.15311 as a fraction

Question: What is 3.15311 as a fraction?


Answer: 3.15311 as a fraction is 659/209


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How to convert 3.15311 as a fraction?

Solution:3.15311 as a fraction is 659/209

Step 1:

The first step to converting 3.15311 to a fraction is to re-write 3.15311 in the form p/q where p and q are both positive integers. To start with, 3.15311 can be written as simply 3.15311/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.15311, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.15311/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.15311/1 each by 100000:

315311/10 / 100000/10 = 315311 / 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 3.15311 as a fraction:

659/209 / 1

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