In the figure below, compare between the colored parts using less than, greater than, or equal.
So we’re comparing these two colored parts. Looking at the figure on the left, we can see that it has one colored part out of seven equal parts. So if you had a chocolate bar and you broke it into seven equal parts, you would have one of those seven parts, or one-seventh of the chocolate bar.
Now if you look at this figure, we can see that one of the parts is colored out of three equal parts. This is the same as one-third. So if we had a chocolate bar and we broke it into three equal parts, you would have one of those three parts, or a third.
So if you only have one out of seven equal parts, you would have less than one out of three equal parts. Since one-seventh is less than one-third, we can say that one colored part out of seven equal parts is less than one colored part out of three equal parts. So the missing symbol is less than.