Simplify: 12−4 divided by 4/3 + 3+1 .

Answer 1

To simplify the expression 12 - 4 ÷ (4/3 + 3) + 1, we need to follow the order of operations.

1. First, let's simplify the expression within the parentheses (4/3 + 3).
4/3 + 3 can be rewritten as (4/3) + 9/3, which gives us 13/3.

2. Next, let's divide 4 by 13/3.
Dividing by a fraction is the same as multiplying by its reciprocal.
So, 4 ÷ (13/3) can be rewritten as 4 * (3/13) which gives us 12/13.

3. Now, let's rewrite the expression with the simplified values: 12 - 12/13 + 1.

4. Finally, let's simplify this expression by finding a common denominator.
The common denominator for 13 and 1 is 13, so we can rewrite the expression as (12/1) - (12/13) + (13/13).

5. Combining the terms, we have (156/13) - (12/13) + (13/13) = (156 - 12 + 13)/13 = 157/13.

So, the simplified form of the expression is 157/13.