Simplify 1$\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} - \frac{1}{2}$

Analyze the question: We have mixed numbers with addition, multiplication and subtraction. By BODMAS, multiplication comes before addition and subtraction.

Expression: 1½ + 2⅓ × ¾ − ½

Step 1: Convert to improper fractions

• 1½ = 3/2
• 2⅓ = 7/3

Step 2: Do the multiplication first 7/3 × 3/4 = 21/12 = 7/4

Step 3: Add and subtract from left to right 3/2 + 7/4 − 1/2

Use a common denominator of 4: = 6/4 + 7/4 − 2/4 = 11/4 = 2¾

Answer: 2¾, which is option D.

Tip: Always apply BODMAS: do the multiplication before the addition and subtraction. If you simply worked left to right, you would get a wrong answer. Also, a quick check: the 3 in 2⅓'s numerator-equivalent (7/3) cancels with the ¾'s 3, which makes the multiplication easier.