In today’s post, we’re going to study the concept of **ratios **using the *“Singapore Bar Model” *methodology.

First, we need to take into consideration that two quantities can be compared in different ways. By subtracting, by a fraction, and by multiplying…but today, we’re going to use **ratios as a factor of comparison.**

**To be able to compare two or more quantities by using ratios, they need to be expressed in the same unit. **Once we have the quantities expressed in the same unit, we need to **find one of the quantities with respect to the other. **

##### Let’s look at an example:

*“John and Paul are twin brothers. Their mom bought them a bag of muffins that has 4 identical muffins. What is the muffin ratio for the brothers?”*

The muffin ratio in respect to the number of boys is **2 muffins for each boy and it’s written as (2:1).** The relationship is **bidirectional**, it can also be (1:2), which means that there is one boy for every 2 muffins.

Now, we’re going to apply this to the Singapore Bar Models:

*What is the ratio of 4 orange units for 8 blue units?*

The answer is the same as the one from the previous example.**1:2 (there is 1 orange unit for every 2 blue units) and 2:1 (there are 2 blue units for every orange unit)**

Now, let’s look at a different case where the two quantities aren’t divisible by each other:

Here, we see a direct relationship; the ratio between these two quantities isn’t divisible by one another. **6:4 (6 green units for every 4 grey units) and 4:6 (4 grey units for every 6 green units).**

Now, we’re going to check to see that other unit comparisons can have the same ratio:

**6 green units for 4 grey units and 12 green units for 8 grey units have the same ratio because the relationship between said quantities is the same. **

To learn more about this topic, and others, sign onto Smartick and try out our elementary math learning method.

### Learn More:

- Proportional Numbers Problems. Ratio and Proportion
- Singapore Bar Models for Multiplication and Division
- Proportional Relationship and Examples in Everyday Life
- Ratio and Proportion: Concept and Some Examples
- Singapore Bar Model and Percentages

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