Final answer:
The ratio x/y given x = a/b and y = c/b is calculated by dividing x by y, which can be simplified to (a/b) * (b/c). Here, the b's cancel out, leaving us with a/c.
Step-by-step explanation:
To find the ratio x/y in terms of a, b, and c, given that x = a/b and y = c/b, we simply divide x by y. This process involves dividing fractions. When we divide by a fraction, it is equivalent to multiplying by its reciprocal. So, x/y can be written as (a/b) /(c/b).
Now, we multiply by the reciprocal of y which is b/c. This gives us (a/b) * (b/c). In this multiplication, the b in the numerator and the b in the denominator will cancel each other out, leaving us with a/c.
Thus, the ratio x/y in terms of a, b, and c is a/c, which corresponds to option (a)