Final answer:
To evaluate the quotient 1/2 divided by 1/6, we multiply the first fraction by the reciprocal of the second fraction, resulting in a quotient of 3.
Step-by-step explanation:
To evaluate the quotient 1/2 divided by 1/6, we can use a model called a fraction bar.
The fraction bar represents division. We place 1/2 on top of the fraction bar and 1/6 below the fraction bar, like this: 1/2 ÷ 1/6
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/6 is 6/1.
So, we rewrite the division problem as multiplication: 1/2 × 6/1
We multiply the numerators together and the denominators together: (1 × 6) / (2 × 1) = 6/2 = 3
Therefore, 1/2 divided by 1/6 is equal to 3.