(5) \( 18 \times 24 \div 8 \times 4 \) (6) \[ \begin{array}{l} (5.6+2.4) \div(8.5-6.5) \\ 7813+2302-587 \times 13 \\ \frac{1}{2}+\left\{2 \frac{1}{4}-\left(\frac{1}{3}+\frac{1}{6}\right)\right\} \\ (16+14)+(2+3)-(7 \times 5) \\ 21+\{6.01+(1.38-0.99)\} \\ 36+18 \div 3 \times(5-2) \\ \frac{13}{5}-\left[\frac{2}{5}+\left\{\frac{11}{4}-\left(\frac{3}{8} \div \frac{1}{2}\right)\right\}\right] \\ 15 \text { of } 3 \div 5 \times 8-4+2 \times(10-5) \\ 3 \times 56+32 \div 8-120 \end{array} \]

Below are the step‐by‐step solutions for each expression. ───────────────────────────── Problem (5):   18 × 24 ÷ 8 × 4 Step 1. Multiply from left to right: 18 × 24 = 432 Step 2. Continue: 432 ÷ 8 = 54 Step 3. Finally: 54 × 4 = 216 Answer for (5): 216 ───────────────────────────── Problem (6): 1. (5.6 + 2.4) ÷ (8.5 – 6.5)   • Add: 5.6 + 2.4 = 8.0   • Subtract: 8.5 – 6.5 = 2.0   • Divide: 8.0 ÷ 2.0 = 4 Answer: 4 2. 7813 + 2302 – 587 × 13   • First, multiply: 587 × 13.     587 × 10 = 5870     587 × 3 = 1761     Sum: 5870 + 1761 = 7631   • Add: 7813 + 2302 = 10115   • Subtract: 10115 – 7631 = 2484 Answer: 2484 3. ½ + {2 ¼ – [⅓ + ⅙]}   • Convert mixed number: 2 ¼ = 9/4   • Add the fractions inside the bracket: ⅓ + ⅙ = (2/6 + 1/6) = 3/6 = ½   • Subtract: 9/4 – ½ = 9/4 – 2/4 = 7/4   • Add the initial ½: ½ + 7/4 = 2/4 + 7/4 = 9/4 Answer: 9/4 4. (16 + 14) + (2 + 3) – (7 × 5)   • Add inside parentheses: 16 + 14 = 30 and 2 + 3 = 5   • Multiply: 7 × 5 = 35   • Then: 30 + 5 = 35, and 35 – 35 = 0 Answer: 0 5. 21 + {6.01 + (1.38 – 0.99)}   • Subtract inside the inner parentheses: 1.38 – 0.99 = 0.39   • Add: 6.01 + 0.39 = 6.40   • Then: 21 + 6.40 = 27.40 Answer: 27.40 6. 36 + 18 ÷ 3 × (5 – 2)   • Solve the parentheses: 5 – 2 = 3   • Do division and multiplication from left to right: 18 ÷ 3 = 6, then 6 × 3 = 18   • Add: 36 + 18 = 54 Answer: 54 7. (13/5) – { (2/5) + [ (11/4) – ((3/8) ÷ (1/2)) ] }   • First, compute the innermost division: (3/8) ÷ (1/2) = (3/8) × (2/1) = 6/8 = 3/4   • Subtract inside the square brackets: 11/4 – 3/4 = 8/4 = 2   • Add the fraction outside the brackets: 2/5 + 2 = 2/5 + 10/5 = 12/5   • Finally, subtract: 13/5 – 12/5 = 1/5 Answer: 1/5 8. 15 of 3 ÷ 5 × 8 – 4 + 2 × (10 – 5)   Note: “of” means multiplication. So “15 of 3” is 15 × 3.   • Multiply: 15 × 3 = 45   • Divide: 45 ÷ 5 = 9   • Multiply: 9 × 8 = 72   • Parentheses: 10 – 5 = 5, then 2 × 5 = 10   • Combine: 72 – 4 = 68, then 68 + 10 = 78 Answer: 78 9. 3 × 56 + 32 ÷ 8 – 120   • Multiply: 3 × 56 = 168   • Divide: 32 ÷ 8 = 4   • Then add and subtract: 168 + 4 = 172, and 172 – 120 = 52 Answer: 52 ───────────────────────────── Summary of Answers: • (5)    216 • (6)   1.    4   2.    2484   3.    9/4   4.    0   5.    27.40   6.    54   7.    1/5   8.    78   9.    52 These are the final results for all the given expressions.