Question

Determine whether the pair of ratios are equivalent ratios. Explain.

3/7, 18/42

Answer 1

Yes, they are.

Step-by-step explanation:

1. - If they're equivalent, we can multiply 3 and 7 by the same number to obtain 18 and 42 respectively, and we can also divide 18 and 42 by that same number to obtain 3 and 7 respectively.

2. - Also, the result obtained by dividing 7 by 3 and 42 by 18 will be the same.

Demonstration:

1. -

`3 * 6 = 18\:and\:7*6 = 42\\18 / 6 = 3\:and\:42 / 6 = 7\\`

2. -

`(3)/(7)  = 0,429\:and\:(18)/(42) = 0,429`

Hope it helped,

BioTeacher101

Answer 2

yes

3/7 multiplied by 6 (each no.) gives 18/42

Thus, 18/14=18/42

3/7=18/42