Compare the models for 1/3 and 2/6. How does the number of parts relate to the sizes of the parts?

Compare the models for 1/3 and 2/6 .How does the number of parts relate to the sizes of the parts?

To compare the models for 1/3 and 2/6, it's important to understand that fractions represent parts of a whole. In this case, we have 1/3 and 2/6.

To visualize this, you can imagine a whole object that is split into equal parts. Let's take a pie as an example.

For 1/3, imagine a pie divided into three equal parts. Each part represents 1/3 of the whole pie. So, one part out of three is shaded or filled.

For 2/6, imagine the same pie divided into six equal parts. Each part represents 1/6 of the whole pie. In this case, two out of six parts are shaded or filled.

Now, let's compare the number of parts and sizes of the parts:

In both 1/3 and 2/6, the number of parts is different, with 1/3 having three parts and 2/6 having six parts. However, the sizes of the parts are the same in both cases, as each part represents an equal portion of the whole.

So, even though the denominators (the numbers at the bottom of the fractions) differ, the numerator (the number at the top of the fraction) is what determines the number of shaded or filled parts. The size of each part remains the same, regardless of the number of parts.