Question

The product of two rational numbers is -14/17. If one of the numbers be 7/9, other is ____.

Answer 1

Answer:

18/7

Step-by-step explanation:

7/9 x a/b = -14/7

a/b = -14/7÷7/9

taking reciprocal

a/b= -14/7 x 9/7

a/b =-126/49

a/b =-18/7

hope it is correct

Answer 2

Answer:

The other number is $-\frac{18}{17}$.

Explanation:

• A rational number can be defined as it is a type of real number, which is in the form of $\frac{p}{q}$ where 'q' is not equal to zero. So wecan say any fraction with non zero denominators is a rational number.

• The rational numbers can be either positive or negative. If the rational number is a positive one then, both 'p' and 'q' are positive integers. If the rational number takes the form of - $\frac{p}{q}$, then either 'p' or 'q' will take the negative value.

• Given that the product of two rational numbers is $-\frac{14}{17}$. In this one of the numbers be $\frac{7}{9}$.
• We have to find the other number.
• So that it is clear that the other number will be a negative value.
• Let "$x$" be the other number. Then from the given data;

$\frac{7}{9}$ x $x$ = $-\frac{14}{17}$

⇒ $x$ = $\frac{-\frac{14}{17} }{\frac{7}{9} }$

• Instead of dividing two rational numbers, take reciprocal of denominator and perform multiplication process.

⇒ $x$ = $-\frac{14}{17}$ × $\frac{9}{7}$

⇒ $x$ = $-\frac{126}{119}$

⇒ $x$ = $-\frac{18}{17}$

• Hence, the value of $x$ is $-\frac{18}{17}$.

• Therefore the other number is $-\frac{18}{17}$.

To know more, go through the links;

https://brainly.in/question/18448846

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