Calculate the following: \( \begin{array}{ll}\text { a) } 5 \times(72 \div(8+4))-3 & \text { b) }(59+1) \div(2 \times 5)-6 \\ \text { C. } 32 \div 8+3 \times 7-14 & \text { d) } 72-(8 \times 7+3)+4 \times 12 \\ \text { (e) } 3 \times 3 \times(10-5 \times 2)+21 \div 3 & \text { f) } 27 \div(3 \times 2+3)-5 \\ \text { g) } 42 \div(7 \times 6)+100 & \text { h) } \frac{1}{4} \text { of }(15 \div 5+13) \\ \text { (i) } 9+10-7 \times 12 \div 6 & \text { f) }(68-4) \div 8 \times 10+3\end{array} \)

Sure, let's solve each of the given mathematical expressions step by step. --- ### **a) \( 5 \times \left( \frac{72}{8 + 4} \right) - 3 \)** 1. **Calculate inside the parentheses:** \[ 8 + 4 = 12 \] 2. **Divide 72 by the result:** \[ \frac{72}{12} = 6 \] 3. **Multiply by 5:** \[ 5 \times 6 = 30 \] 4. **Subtract 3:** \[ 30 - 3 = 27 \] **Answer:** **27** --- ### **b) \( \frac{59 + 1}{2 \times 5} - 6 \)** 1. **Calculate the numerator:** \[ 59 + 1 = 60 \] 2. **Calculate the denominator:** \[ 2 \times 5 = 10 \] 3. **Divide the numerator by the denominator:** \[ \frac{60}{10} = 6 \] 4. **Subtract 6:** \[ 6 - 6 = 0 \] **Answer:** **0** --- ### **c) \( \frac{32}{8} + 3 \times 7 - 14 \)** 1. **Divide 32 by 8:** \[ \frac{32}{8} = 4 \] 2. **Multiply 3 by 7:** \[ 3 \times 7 = 21 \] 3. **Add the results and subtract 14:** \[ 4 + 21 - 14 = 11 \] **Answer:** **11** --- ### **d) \( 72 - (8 \times 7 + 3) + 4 \times 12 \)** 1. **Calculate inside the parentheses:** \[ 8 \times 7 = 56 \] \[ 56 + 3 = 59 \] 2. **Subtract from 72:** \[ 72 - 59 = 13 \] 3. **Multiply 4 by 12:** \[ 4 \times 12 = 48 \] 4. **Add the results:** \[ 13 + 48 = 61 \] **Answer:** **61** --- ### **e) \( 3 \times 3 \times (10 - 5 \times 2) + \frac{21}{3} \)** 1. **Inside the parentheses:** \[ 5 \times 2 = 10 \] \[ 10 - 10 = 0 \] 2. **Multiply 3 by 3 and then by the result:** \[ 3 \times 3 = 9 \] \[ 9 \times 0 = 0 \] 3. **Divide 21 by 3:** \[ \frac{21}{3} = 7 \] 4. **Add the results:** \[ 0 + 7 = 7 \] **Answer:** **7** --- ### **f) \( \frac{27}{3 \times 2 + 3} - 5 \)** 1. **Calculate the denominator:** \[ 3 \times 2 = 6 \] \[ 6 + 3 = 9 \] 2. **Divide 27 by the denominator:** \[ \frac{27}{9} = 3 \] 3. **Subtract 5:** \[ 3 - 5 = -2 \] **Answer:** **-2** --- ### **g) \( \frac{42}{7 \times 6} + 100 \)** 1. **Calculate the denominator:** \[ 7 \times 6 = 42 \] 2. **Divide 42 by the denominator:** \[ \frac{42}{42} = 1 \] 3. **Add 100:** \[ 1 + 100 = 101 \] **Answer:** **101** --- ### **h) \( \frac{1}{4} \text{ of } \left( \frac{15}{5} + 13 \right) \)** 1. **Calculate inside the parentheses:** \[ \frac{15}{5} = 3 \] \[ 3 + 13 = 16 \] 2. **Find one fourth of 16:** \[ \frac{1}{4} \times 16 = 4 \] **Answer:** **4** --- ### **i) \( 9 + 10 - 7 \times 12 \div 6 \)** 1. **Multiply 7 by 12:** \[ 7 \times 12 = 84 \] 2. **Divide by 6:** \[ \frac{84}{6} = 14 \] 3. **Add and subtract in sequence:** \[ 9 + 10 = 19 \] \[ 19 - 14 = 5 \] **Answer:** **5** --- ### **f) \( \frac{68 - 4}{8} \times 10 + 3 \)** *(Note: This is labeled as "f" again, but we'll proceed with the calculation.)* 1. **Subtract inside the numerator:** \[ 68 - 4 = 64 \] 2. **Divide by 8:** \[ \frac{64}{8} = 8 \] 3. **Multiply by 10:** \[ 8 \times 10 = 80 \] 4. **Add 3:** \[ 80 + 3 = 83 \] **Answer:** **83** --- Feel free to reach out if you have any more questions!