To simplify the expression 12 - 4 / (4/3) + 1, we need to follow the order of operations (PEMDAS/BODMAS).
Step 1: Simplify the division within the parentheses.
Recall that dividing by a fraction is equivalent to multiplying by its reciprocal.
12 - 4 * (3/4) + 1
Step 2: Perform the multiplication within the parentheses.
12 - 12/4 + 1
12 - 3 + 1
Step 3: Perform the subtraction and addition from left to right.
9 + 1
Step 4: Perform the addition.
9 + 1 = 10
Therefore, the simplified expression is 10.
simplify 12 - 4 / 4/3 + 1
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