How to convert 2.7982376575467 as a fraction

Question: What is 2.7982376575467 as a fraction?


Answer: 2.7982376575467 as a fraction is 2857/1021


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How to convert 2.7982376575467 as a fraction?

Solution:2.7982376575467 as a fraction is 2857/1021

Step 1:

The first step to converting 2.7982376575467 to a fraction is to re-write 2.7982376575467 in the form p/q where p and q are both positive integers. To start with, 2.7982376575467 can be written as simply 2.7982376575467/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.7982376575467, which in this case is 13. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.7982376575467/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.7982376575467/1 each by 10000000000000:

27982376575467/10 / 10000000000000/10 = 27982376575467 / 10000000000000

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 2.7982376575467 as a fraction:

2857/1021 / 1

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