The number nearest to 60 that will divide by 9 without a remainder is 63. Here's how you can determine this:
1. Start by finding the nearest multiple of 9 to 60. To do this, you can divide 60 by 9:
60 ÷ 9 = 6 with a remainder of 6.
2. The next multiple of 9 after 60 is obtained by adding 9 to 60:
60 + 9 = 69.
3. The previous multiple of 9 before 60 is obtained by subtracting 9 from 60:
60 - 9 = 51.
4. Since 60 is closer to 63 (the next multiple of 9) than to 51 (the previous multiple of 9), the number nearest to 60 that will divide by 9 without a remainder is 63.
