How to convert 2.813823 as a fraction

Question: What is 2.813823 as a fraction?


Answer: 2.813823 as a fraction is 1995/709


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How to convert 2.813823 as a fraction?

Solution:2.813823 as a fraction is 1995/709

Step 1:

The first step to converting 2.813823 to a fraction is to re-write 2.813823 in the form p/q where p and q are both positive integers. To start with, 2.813823 can be written as simply 2.813823/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.813823, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.813823/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.813823/1 each by 1000000:

2813823/10 / 1000000/10 = 2813823 / 1000000

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 2.813823 as a fraction:

1995/709 / 1

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