Short Answer 
The answer outlines the process of solving a problem involving the fraction 3/4 by first understanding its components, then setting up an equation to increase it by 2 1/6, and finally solving the equation which confirms that the original fraction is indeed 3/4.
Step 1: Understanding the Original Fraction
The given fraction is 3/4, which means it represents 3 parts out of 4 total parts. A fraction is made up of two parts: the numerator (the top number) and the denominator (the bottom number). Understanding this concept will help in performing operations with fractions.
Step 2: Setting Up the Equation
To solve the problem, we need to set up an equation that increases the given fraction by 2 1/6. This can be expressed as: (N + 4)/(D – 3) = 2 1/6, where N is the numerator and D is the denominator. This helps us frame the problem for further calculation.
Step 3: Solving the Equation
To eliminate the fraction, multiply both sides by 6. This gives: 6(N + 4) = 6(D – 3) + 13. Through simplification, we find 6N + 41 = 6D – 5. Since the denominator is one more than the numerator, we adjust the equation accordingly, arriving at N + 6 = D. Therefore, confirming the original fraction is indeed 3/4.