The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is `(29)/(20)dot` Find the original fraction.

Explanation

To solve the problem step by step, let's define the variables and follow the logic presented in the video transcript.

### Step 1: Define the Variables
Let the denominator of the fraction be \( x \). According to the problem, the numerator is 3 less than the denominator. Therefore, the numerator can be expressed as:
\[ \text{Numerator} = x - 3 \]
Thus, the original fraction can be written as:
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