Simplify: (5/4) + (3/2).

To simplify the expression (5/4) + (3/2), first, it’s important to ensure both fractions have a common denominator before adding them together.

The denominator of the first fraction, 5/4, is 4. The denominator of the second fraction, 3/2, is 2. The least common denominator (LCD) between 4 and 2 is 4.

Next, we need to convert 3/2 to a fraction with a denominator of 4. To do this, we can multiply the numerator and the denominator of 3/2 by 2:

3/2 * (2/2) = 6/4.

Now we can add the two fractions:

(5/4) + (6/4) = (5 + 6) / 4 = 11/4.

To convert 11/4 into a decimal, divide 11 by 4, resulting in:

11 ÷ 4 = 2.75.

Thus, when we simplify (5/4) + (3/2), we find that the correct answer is 2.75. This corresponds with the first choice provided in the question, making it the correct answer.