Final answer:
To evaluate the expression 1/2 + 2/3 ÷ 1/6, simplify the division first by multiplying the first fraction by the reciprocal of the second fraction, and then add the fractions with a common denominator.
Step-by-step explanation:
To evaluate the expression 1/2 + 2/3 ÷ 1/6, we need to follow the order of operations which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). In this expression, we only have division and addition.
First, we need to simplify the division 2/3 ÷ 1/6. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So we have 2/3 ÷ 1/6 = 2/3 * 6/1 = 12/3 = 4.
Next, we add 1/2 and the result of the division 4. To add fractions, we need to have the same denominator. The least common denominator of 2 and 4 is 4. So we have 1/2 + 4/4 = 1/2 + 1 = 1 1/2.