A proportion is best defined as two fractions that are equal to each other.
To elaborate further, a proportion takes the form a/b = c/d, where a, b, c, and d are numbers, and b and d are not zero. The statement "a is to b as c is to d" expresses the idea that the ratio of a to b is the same as the ratio of c to d. In other words, the two ratios or fractions are equivalent, and this relationship is called a proportion.
The other options provided do not correctly describe a proportion:
- An expression that cannot be simplified further does not specifically relate to the concept of a proportion.
- A point of discontinuity that can be repaired is a concept related to functions in calculus, not proportions.
- A solution of a simplified version of an equation that does not satisfy the original equation, sometimes referred to as an extraneous solution, is also not related to the definition of a proportion.