Final answer:
Carl can find the product 30×5/6 mentally by recognizing that 30×1/6 is 5 and then multiplying 5 by 5 to get 25, which is described in Option D.
Step-by-step explanation:
Carl wants to find the product 30×5/6. To do this mentally, he can use the strategy of breaking down the multiplication into simpler steps. Looking at the options presented, let's analyze how he can find the product:
• Option A suggests that Carl divides 30 by 5 to get 6 and then multiplies that by 6 to get 36. This does not relate to the original problem of 30×5/6, and thus is incorrect.
• Option B would result in subtracting 1 from 30, which is again not relevant to finding the product of 30×5/6.
• Option C involves adding 18 and 5 to get 23, which does not involve the fraction 5/6, thus is incorrect.
• Option D rightly states that 30×1/6 is 5, because 30 divided by 6 is 5. Then, multiplying 5 by 5 (since there are five 1/6ths in 5/6) will yield the correct answer, which is 25.
To conclude, the method described in Option D is the correct one, and this aligns with our understanding that multiplication involving fractions can be simplified by breaking it down into steps that are easier to perform mentally.