Ratio A is equivalent to Ratio B. Ratio B is equivalent to Ratio C. Is Ratio A therefore equivalent to Ratio C? Explain your reasoning.
Let A=a/b, B=c/d, C=e/f
You have
a/b = c/d and c/d = e/f
so, yes, all three are equal.
2/3 = 4/6 = 6/9
Ratio A is equivalent to Ratio B. Ratio B is equivalent to Ratio C. Is Ratio A therefore equivalent to Ratio C?
I need some example of solution......
To determine if Ratio A is equivalent to Ratio C based on the given information, we need to understand what it means for two ratios to be equivalent.
Ratios are considered equivalent when they represent the same relationship between two or more quantities. Two ratios are equivalent if they have the same value when simplified.
Now, let's analyze the given statement:
- Ratio A is equivalent to Ratio B.
- Ratio B is equivalent to Ratio C.
Based on the information given, we can conclude that Ratio A and Ratio B have the same value, and Ratio B and Ratio C also have the same value. However, we need to establish whether Ratio A and Ratio C have the same value.
To do this, we can use a transitive property of equivalence. If two things are each equivalent to a third thing, then they must be equivalent to each other.
Since Ratio A is equivalent to Ratio B, and Ratio B is equivalent to Ratio C, we can conclude that Ratio A must also be equivalent to Ratio C.
In summary, based on the given information and the transitive property of equivalence, we can determine that Ratio A is indeed equivalent to Ratio C.