A ratio is a comparative relation between two quantities.
10:6
Practice makes perfect
We want to find the ratio of titak animals to deer. Let's start by counting the number of animals and the number of deer on the given diagram!
We can see in the diagram that there are 10 total animals and 6 deer. Now, recall that a ratio is a comparison of two quantities by division. This means that to find the ratio of total animals to deer, we will divide the number of animals, 10, by the number of deer, 6. Let's do it!
10/6 l← Number of animals ← Number of deer
The ratio of total animals to deer is 106, which can be also written as 10 to 6 or 10:6. We know that the ratio ab means that for every a units of one quantity, there are b units of another quantity. Therefore, the ratio of 106 means that for every 10 animals, there are 6 deer.
Extra
Simplify the Ratio
To simplify the ratio we will divide the numerator and the denominator by their greatest common factor (GCF). The first step in finding a GCF is to express each number as a product of its prime factors. Let's do it!
Given Number
Prime Factorization
Common Prime Factors
10
5* 2
2
6
3* 2
2
For the given values, the only common prime factor is 2. Therefore, 2 is the GCF of 10 and 6. Knowing that, we can simplify our ratio by dividing the numerator and denominator by 2.
The ratio of total animals to deer is 53, which can be also written as 5 to 3 or 5:3. Recall that the ratio 53 also means that for every 5 animals, there are 3 deer.
