To determine if one ratio is equivalent to another, we must find the common ratio that can be used to convert one ratio to the other. In this case, we can divide both the numerator and denominator of the given ratio 8:5 by the greatest common factor (GCF) of 8 and 5, which is 1.
Dividing 8 by 1 gives us 8, and dividing 5 by 1 gives us 5. Therefore, the equivalent ratio is 8:5.
Now, we can check each of the given ratios to see if any of them are also equivalent to 8:5.
A) 12:9 - Dividing both numerator and denominator by the GCF of 12 and 9, which is 3, gives us the ratio 4:3. This ratio is not equivalent to 8:5.
B) 24:15 - Dividing both numerator and denominator by the GCF of 24 and 15, which is 3, gives us the ratio 8:5. This ratio is equivalent to 8:5.
C) 40:25 - Dividing both numerator and denominator by the GCF of 40 and 25, which is 5, gives us the ratio 8:5. This ratio is equivalent to 8:5.
D) 20:32 - Dividing both numerator and denominator by the GCF of 20 and 32, which is 4, gives us the ratio 5:8. This ratio is not equivalent to 8:5.
E) 16:10 - Dividing both numerator and denominator by the GCF of 16 and 10, which is 2, gives us the ratio 8:5. This ratio is equivalent to 8:5.
Therefore, the ratios that are equivalent to 8:5 are B) 24:15, C) 40:25, and E) 16:10.
Which of the ratios below is equivalent to 8:5? Select all that apply.
A) 12:9
B) 24:15
C) 40:25
D) 20:32
E) 16:10
1 answer
6 answers