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3 years ago

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

Mathematics

1 answer:

Rasek [7]3 years ago

8 0

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.

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

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