Say for instance, you are in a classroom. In the classroom, there are boys and girls.
If there are 6 girls and 3 boys in that classroom, you can say that the ratio of boys to girls is 3/6
You can also write 3 to 6 or 3:6
3/6 is equal to 1/2 or 0.5 and it means that there are half as many boys as girls in the classroom.
However, the ratio of girls to boys is 6/3
6/3 is equal to 2 and it means that there are two times as many girls as boys in the classroom.
You can also define the following:
Ratio of girls to number of students in the classroom: 6/9
Ratio of boys to number of students in the classroom: 3/9
Ratio of number of students in the classroom to girls: 9/6
Ratio of number of students in the classroom to boys: 9/3
At this point you may have noticed that the order is important when defining a ratio. The number that comes after ' of ' is your numerator and the number that comes after ' to ' is your denominator.