Imagine you have 64 whole candies, like lollipops or gummy bears. That's a lot, right? Now, you want to share these candies equally among yourself and your two friends. Since you have to divide the candies into 3 equal parts, you will need to cut each candy into 3 smaller pieces. This means each of you will get 1 whole candy and 1/3 of another candy, which is like having a piece smaller than a whole candy but still part of it.

So, 64 1/3 means you have 64 whole candies and an additional 1/3 of a candy. It's like saying you have a lot of candies plus a little extra piece of one more candy left over.

Another way to think about 64 1/3 is by converting it into a mixed number. 64 1/3 is the same as 64 + 1/3. The whole number part, 64, represents the whole candies you have, while the fraction part, 1/3, represents a part of another candy, like a small piece of it.

Imagine if you have 64 full buckets of water and 1/3 of another bucket. You would have a lot of water, almost 65 full buckets, right? That's how you can visualize 64 1/3 as having a large quantity plus a little extra.

So, 64 1/3 is simply a way of expressing a whole number of items, like candies or buckets, along with a part of another item. It helps us understand that we have a significant amount of something and a small additional portion, emphasizing both the whole and the fraction.


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