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Answer :
Let's simplify the expression
$$
45-\left[38-\left\{60 \div 3-\frac{(6-9 \div 3)}{3}\right\}\right]
$$
step by step.
1. First, evaluate the division in the innermost part of the expression:
$$60 \div 3 = 20.$$
2. Next, compute the division in the inner parentheses:
$$9 \div 3 = 3.$$
3. Subtract the result from 6:
$$6 - 3 = 3.$$
4. Now, divide this result by 3:
$$\frac{3}{3} = 1.$$
5. Use this result to simplify the expression inside the curly braces:
$$60 \div 3 - \frac{(6-9 \div 3)}{3} = 20 - 1 = 19.$$
6. Replace the curly braces in the square brackets:
$$38 - 19 = 19.$$
7. Finally, subtract this result from 45:
$$45 - 19 = 26.$$
So, the final answer is:
$$\boxed{26}$$
$$
45-\left[38-\left\{60 \div 3-\frac{(6-9 \div 3)}{3}\right\}\right]
$$
step by step.
1. First, evaluate the division in the innermost part of the expression:
$$60 \div 3 = 20.$$
2. Next, compute the division in the inner parentheses:
$$9 \div 3 = 3.$$
3. Subtract the result from 6:
$$6 - 3 = 3.$$
4. Now, divide this result by 3:
$$\frac{3}{3} = 1.$$
5. Use this result to simplify the expression inside the curly braces:
$$60 \div 3 - \frac{(6-9 \div 3)}{3} = 20 - 1 = 19.$$
6. Replace the curly braces in the square brackets:
$$38 - 19 = 19.$$
7. Finally, subtract this result from 45:
$$45 - 19 = 26.$$
So, the final answer is:
$$\boxed{26}$$
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