How to convert 5.762836744111 as a fraction

Question: What is 5.762836744111 as a fraction?


Answer: 5.762836744111 as a fraction is 2357/409


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How to convert 5.762836744111 as a fraction?

Solution:5.762836744111 as a fraction is 2357/409

Step 1:

The first step to converting 5.762836744111 to a fraction is to re-write 5.762836744111 in the form p/q where p and q are both positive integers. To start with, 5.762836744111 can be written as simply 5.762836744111/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.762836744111, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.762836744111/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.762836744111/1 each by 1000000000000:

5762836744111/10 / 1000000000000/10 = 5762836744111 / 1000000000000

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 5.762836744111 as a fraction:

2357/409 / 1

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