Question

The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​

Answer 1

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

• $r = \frac{\frac{9}{7} }{\frac{15}{14}}$ (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)

• $r = \frac{6}{5}$

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.