Final answer:
The expression showing how many stickers will go on each window is 'w = 1 / 3'. However, this answer is not practical as you cannot divide a sticker into thirds, suggesting there might be an error in the given problem.
Step-by-step explanation:
To find the expression that shows how many stickers Ina will put on each window, we should first understand the proportion given as '1/48 = w/16'. This proportion indicates a relationship between two ratios where 'w' is the number of stickers Ina wants to put on each window and therefore the variable we are solving for.
To solve for 'w', we can cross multiply, which gives us '1 * 16 = 48 * w'. Simplifying this equation, we get '16 = 48w'. Finally, we divide both sides by 48 to find 'w', the number of stickers per window. The resulting expression is 'w = 16 / 48'.
To simplify the expression, we can reduce the fraction by dividing both the numerator and denominator by the greatest common factor, which is 16, we get 'w = 1 / 3'. Therefore, Ina will put '1/3' of a sticker on each window, which intuitively doesn't make sense in practical terms since one cannot split a sticker into thirds and distribute them evenly across windows. It is likely there is an error in the given values as stickers cannot be divided.