Respuesta :
Answer:
The other rational number in the operation given is:
- 6/5
Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
- r * 15/14 = 9/7
Where:
- r = the other rational number.
Now we are going to solve r to identify its value in numbers:
- r * 15/14 = 9/7
- [tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
- [tex]r = \frac{6}{5}[/tex]
As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
- r * 15/14 = 9/7
- 6/5 * 15/14 = 9/7
- 9/7 = 9/7
In this form, we know the result is correct.