How to convert 0.31589576942774 as a fraction

Question: What is 0.31589576942774 as a fraction?


Answer: 0.31589576942774 as a fraction is 1564/4951


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How to convert 0.31589576942774 as a fraction?

Solution:0.31589576942774 as a fraction is 1564/4951

Step 1:

The first step to converting 0.31589576942774 to a fraction is to re-write 0.31589576942774 in the form p/q where p and q are both positive integers. To start with, 0.31589576942774 can be written as simply 0.31589576942774/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.31589576942774, which in this case is 14. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.31589576942774/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 0.31589576942774/1 each by 100000000000000:

031589576942774/10 / 100000000000000/10 = 031589576942774 / 100000000000000

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 0.31589576942774 as a fraction:

1564/4951 / 1

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