Question

The product of two rational numbers is -14/27.
If one of the numbers be 7/9, find the other.



Please help!!

Answer 1

Step-by-step Solution With Explanation:

1. Let the other number be x.
2. $\frac{7}{9} + x = \frac{-14} {27}$
3. $x = \frac{ - 14}{27} - \frac{7}{9}$
4. Let's take LCM of 27 and 9 and make both denominator.
5. $x = \frac{ - 14 }{27} - \frac{21}{27}$
6. $x = \frac{ - 35}{27} answer$

Checking Answer:

• $= \frac{7}{9} + \frac{ -35}{27}$
• $= \frac{21}{27} + \frac{ - 35}{27}$

$= \frac{ - 14}{27}$

Thus, our answer =

Thus, Our answer= x =

$\frac{ - 13}{27}$

Answer 2

Answer:

Step-by-step explanation:

Given,

Product of two rational numbers = -14/27

One of the number = 7/9

To Find:-

The other number.

Solution:-

Let, the other number be 'x'

$\implies\frac{7}{9} \times x = \frac{-14}{27}$

$x = \frac{-14}{27} \times\frac{9}{7}$

$x = \frac{-126}{189}$

$x = \frac{-2}{3}$

$\sf\therefore$ other number = x = -2/3