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Problem Walkthrough: Follow the steps in purple to Divide. ( R )/(985) How many times can 9 fit into 85 , without going over?

User MartinHN
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1 Answer

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Final answer:

9 can fit into 85 a total of 9 times because 9 x 9 = 81, which is the largest multiple of 9 that is less than or equal to 85.

Step-by-step explanation:

To find out how many times 9 can fit into 85 without going over, we will perform the following steps:

  1. Determine the largest multiple of 9 that is equal to or less than 85.
  2. Count how many times 9 fits into this multiple.

To find the largest multiple of 9 that does not exceed 85, we start by multiplying 9 by 1, then by 2, and so on, until the result is as close to 85 as possible without surpassing it. Multiplying 9 by 9 gives us 81, which is the closest multiple of 9 to 85 without going over. Therefore, 9 fits into 85 a total of 9 times.

Here's a quick review of the multiplication of 9 that proves this point:

  • 9 x 1 = 9
  • 9 x 2 = 18
  • 9 x 3 = 27
  • …
  • 9 x 9 = 81

Any further multiplication would result in a number higher than 85, which is not allowed as per the question's instructions.

User Jonas Libbrecht
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