Simplify

Question

12 - 4 ÷ 4/3 + 1

Answer 1

To simplify this expression, we need to follow the order of operations (also known as PEMDAS): parentheses, exponents, multiplication/division (from left to right), addition/subtraction (from left to right).

Given expression: 12 - 4 ÷ 4/3 + 1

First, we simplify the division first:
12 - (4 ÷ (4/3)) + 1

To divide 4 by 4/3, we can multiply 4 by the reciprocal of 4/3:
12 - (4 × (3/4)) + 1

This simplifies to:
12 - 3 + 1 + 1

Next, we perform the multiplication:
12 - 3 + 1 + 1 = 9 + 1 + 1

Finally, we add the numbers together:
9 + 1 + 1 = 11

So, the simplified expression is 11.