Final answer:
To divide 2/1 by 4, multiply by the reciprocal of 4, which is 1/4, resulting in the simplified fraction 1/2. When dealing with scale factors, setup a proportion, cross multiply to find the actual dimension corresponding to a given scale measurement.
Step-by-step explanation:
The division of 2/1 by 4 results in a fraction that can be simplified. When dividing by a whole number, you can multiply by its reciprocal. In this case, the reciprocal of 4 is 1/4. So, the division becomes a multiplication: 2/1 × 1/4 = 2/4, which simplifies to 1/2. This is an application of division and simplification in fractions.
To apply this understanding to scale factors, consider the following proportion for determining actual dimensions: Given the scale factor 1:4 and a scale dimension of 4, you can set up the proportion 1/4 = 4/x, where x represents the actual dimension you are solving for. Cross multiplication yields 1x = 4 × 4, resulting in x = 16, which is the actual dimension.