Simplify 12−4÷4/3+1

To simplify the expression 12 - 4 ÷ (4/3) + 1, let's follow the order of operations (parentheses, exponents, multiplication/division, and addition/subtraction) to simplify it step by step.

First, let's simplify the division inside the parentheses:
4 ÷ (4/3) can be rewritten as 4 * (3/4) since dividing by a fraction is the same as multiplying by its reciprocal.
4 * (3/4) = 12/4 = 3.

Now, let's substitute this value back into the original expression:
12 - 3 + 1 = (12 - 3) + 1.

Next, let's perform the subtraction:
12 - 3 = 9.

Finally, let's perform the addition:
9 + 1 = 10.

Therefore, the simplified expression is 10.