How to convert 2.79783162625 as a fraction

Question: What is 2.79783162625 as a fraction?


Answer: 2.79783162625 as a fraction is 775/277


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How to convert 2.79783162625 as a fraction?

Solution:2.79783162625 as a fraction is 775/277

Step 1:

The first step to converting 2.79783162625 to a fraction is to re-write 2.79783162625 in the form p/q where p and q are both positive integers. To start with, 2.79783162625 can be written as simply 2.79783162625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.79783162625, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.79783162625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.79783162625/1 each by 100000000000:

279783162625/10 / 100000000000/10 = 279783162625 / 100000000000

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 2.79783162625 as a fraction:

775/277 / 1

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