A ratio is the relationship between two amounts. A ratio can be expressed as a fraction.
What comes to mind is icing cupcakes. If I use one cup of vanilla cake icing to ice 4 cupcakes, and one cup of chocolate icing to ice 2 cup cakes, which cup cakes have more icing on them, the vanilla cupcakes or the chocolate cupcakes?
1. The ratio for each type of icing to the number of cupcakes is:
1 cup vanilla icing: 4 cupcakes
1 cup chocolate icing: 2 cupcakes
2. The fraction representing each ration is:
1 cup vanilla icing/4 cupcakes
1 cup chocolate icing/2 cupcakes
Math: For any fraction, when the denominator number increases, the fraction value decreases. For example, 1/4 is less than 1/2.
This is because the quantity of the numerator is spread out over the size of the denominator.
So which cupcakes have a thinner layer of icing:
1. The vanilla which have 1 cup of icing spread over the surface of 4 cupcakes?
2. The chocolate which have 1 cup of icing spread over the surface of 2 cupcakes?
Answer: The chocolate cupcakes have more icing.
More Later, Janice
For more information about ratios and other math examples, see