Question

THE SUM OF TWO RATIONAL NUMBERS IS -7. IF ONE OF THEM IS
$\frac{3}{7}$
FIND THE OTHER​

Answer 1

Answer:

Sum of two rational Number is

$- 7$

One of them is

$\frac{3}{7}$

We gave to find the other

Let the required no. be x

Now

$\frac{ 3}{7} + x = \frac{ - 7}{1}$

Required No.=

$x = \frac{ - 7}{1} - \frac{3}{7}$

Find LCM of the denominators

Which is 21

$\frac{ - 7}{1} \times \frac{21}{21} = \frac{ - 147}{21}$

$\frac{3}{7} \times \frac{3}{3} = \frac{9}{21}$

Now

$\frac{ - 147}{21} - \frac{9}{21} = \frac{ - 138}{21}$

the other Number Is

$\frac{ - 138}{21}$

Answer 2

Given: The sum of two rational numbers is$-7$ and one of the numbers is$\frac{3}{7}$.

We have to find the other number.

We are solving in the following way:

Let the other number be '$x$'.

From the given statement we can write:

$x+\frac{3}{7} =-7$

Solving the above equation further we get,

$\Rightarrow x+\frac{3}{7} =-7\\\\\Rightarrow x=-7-\frac{3}{7} \\\\\Rightarrow x= -\frac{7\times-7-3}{7} \\\\\Rightarrow x=\frac{-49-3}{7} \\\\\Rightarrow x=\frac{-52}{7}$

Hence, the other number will be$-\frac{52}{7}$.