Simplify: (2/3) + (3/4). What is the result?

To simplify the expression (2/3) + (3/4), we first need to find a common denominator. The denominators here are 3 and 4. The least common multiple of 3 and 4 is 12.

Next, we convert each fraction to have this common denominator:

For (2/3):

• Multiply both the numerator and the denominator by 4:

(2 * 4) / (3 * 4) = 8/12.

For (3/4):

• Multiply both the numerator and the denominator by 3:

(3 * 3) / (4 * 3) = 9/12.

Now, we can add the two fractions:

8/12 + 9/12 = (8 + 9) / 12 = 17/12.

Finally, we convert the improper fraction 17/12 into a mixed number or decimal. Dividing 17 by 12 gives us 1 with a remainder of 5, which can be expressed as:

1 + 5/12.

To express 5/12 as a decimal, we can divide 5 by 12, which is approximately 0.4167. Adding this