How to convert 2.82832 as a fraction

Question: What is 2.82832 as a fraction?


Answer: 2.82832 as a fraction is 1598/565


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How to convert 2.82832 as a fraction?

Solution:2.82832 as a fraction is 1598/565

Step 1:

The first step to converting 2.82832 to a fraction is to re-write 2.82832 in the form p/q where p and q are both positive integers. To start with, 2.82832 can be written as simply 2.82832/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.82832, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.82832/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.82832/1 each by 100000:

282832/10 / 100000/10 = 282832 / 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 2.82832 as a fraction:

1598/565 / 1

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