Simplify: (1/2) + (2/3)

To simplify the expression (1/2) + (2/3), it is necessary to find a common denominator before adding the two fractions. The denominators in this case are 2 and 3. The least common multiple of 2 and 3 is 6.

Next, we convert each fraction to have the common denominator of 6:

• For (1/2), we multiply both the numerator and the denominator by 3 to get (1 * 3) / (2 * 3) = 3/6.

• For (2/3), we multiply both the numerator and the denominator by 2 to get (2 * 2) / (3 * 2) = 4/6.

Now, we add the two fractions:

3/6 + 4/6 = (3 + 4)/6 = 7/6.

Thus, the simplified result of (1/2) + (2/3) is indeed 7/6. This fraction can also be expressed as a mixed number: 1 1/6, but in its simplest form as a proper fraction, the answer remains 7/6.