Final answer:
The answer to the arithmetic expression 2 x 2 / 4 - 3 + 1 / 6 simplifies to -11 / 6 after performing multiplication, division, and addition/subtraction in that order.
Step-by-step explanation:
The student's question involves performing a series of arithmetic operations: multiplication, division, addition, and subtraction. Let's break down the expression step by step:
- First, we perform the multiplication and division from left to right:
- (2 x 2) / 4 equals 4 / 4, which simplifies to 1.
- Then we perform the subtraction and addition, also from left to right:
- 1 - 3 equals -2.
- Lastly, add the fraction 1 / 6:
- -2 + 1 / 6. To combine the integer and the fraction, you can think of -2 as -12 / 6, which has the same denominator as 1 / 6.
- Adding these gives (-12 + 1) / 6, which simplifies to -11 / 6.
Therefore, 2 x 2 / 4 - 3 + 1 / 6 equals -11 / 6.