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(1) 
quad2+9×(4)/(3)-(15-(6)/(3))
(i1) 
-(2+5)-(9-20)

(11) 2+9×43(1563) \quad 2+9 \times \frac{4}{3}-\left(15-\frac{6}{3}\right) \newline(i11) (2+5)(920) -(2+5)-(9-20)

Full solution

Q. (11) 2+9×43(1563) \quad 2+9 \times \frac{4}{3}-\left(15-\frac{6}{3}\right) \newline(i11) (2+5)(920) -(2+5)-(9-20)
  1. Simplify expression inside parentheses: First, let's simplify the expression inside the parentheses and the fraction: 9×(43)9 \times \left(\frac{4}{3}\right) becomes 9×4÷39 \times 4 \div 3.
  2. Calculate first set of operations: Now, calculate 9×4÷39 \times 4 \div 3 which is 36÷336 \div 3, giving us 1212.
  3. Simplify second set of parentheses: Next, simplify the second set of parentheses: (15(6)/(3))(15 - (6)/(3)) becomes 156÷315 - 6 \div 3.
  4. Calculate second set of operations: Calculate 156÷315 - 6 \div 3 which is 15215 - 2, giving us 1313.
  5. Combine results of first expression: Now, we have the simplified expression: 2+12132 + 12 - 13.
  6. Simplify expression inside parentheses: Add and subtract in order from left to right: 2+122 + 12 is 1414, and then 141314 - 13 is 11.
  7. Calculate final result: For the second expression, simplify inside the parentheses: (2+5)- (2 + 5) becomes 7-7 and (920)(9 - 20) becomes 11-11.
  8. Calculate final result: For the second expression, simplify inside the parentheses: (2+5)- (2 + 5) becomes 7-7 and (920)(9 - 20) becomes 11-11.Now, we have the simplified expression: 7(11)-7 - (-11).
  9. Calculate final result: For the second expression, simplify inside the parentheses: (2+5)- (2 + 5) becomes 7-7 and (920)(9 - 20) becomes 11-11.Now, we have the simplified expression: 7(11)-7 - (-11).Subtracting a negative is like adding a positive, so 7(11)-7 - (-11) becomes 7+11-7 + 11.
  10. Calculate final result: For the second expression, simplify inside the parentheses: (2+5)-\left(2 + 5\right) becomes 7-7 and (920)\left(9 - 20\right) becomes 11-11.Now, we have the simplified expression: 7(11)-7 - \left(-11\right).Subtracting a negative is like adding a positive, so 7(11)-7 - \left(-11\right) becomes 7+11-7 + 11.Calculate 7+11-7 + 11 which gives us 44.
  11. Calculate final result: For the second expression, simplify inside the parentheses: (2+5)-\left(2 + 5\right) becomes 7-7 and (920)\left(9 - 20\right) becomes 11-11.Now, we have the simplified expression: 7(11)-7 - \left(-11\right).Subtracting a negative is like adding a positive, so 7(11)-7 - \left(-11\right) becomes 7+11-7 + 11.Calculate 7+11-7 + 11 which gives us 44.Now, we have the results of both expressions: 11 and 44.
  12. Calculate final result: For the second expression, simplify inside the parentheses: (2+5)-\left(2 + 5\right) becomes 7-7 and (920)\left(9 - 20\right) becomes 11-11.Now, we have the simplified expression: 7(11)-7 - \left(-11\right).Subtracting a negative is like adding a positive, so 7(11)-7 - \left(-11\right) becomes 7+11-7 + 11.Calculate 7+11-7 + 11 which gives us 44.Now, we have the results of both expressions: 11 and 44.Finally, add the results of the two expressions together: 7-711.

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