Question

The sum of two rational numbers is-5 of one number is -13/6 find other

Answer 1

Answer:

Letotherwillbex

thenx+  

5

−3

​  

=−5

x=−5+  

5

3

​  

=  

5

−22

​  

=−4  

5

2

​

Step-by-step explanation:

Answer 2

Answer :-

• The other rational number is -17/6.

To find :-

• The other number.

Step-by-step explanation :-

• One of the rational numbers is -13/6. We have to find the other number.

Let the other rational number be "x".

Now, it has been given that :-

• The sum of these two rational numbers is -5.

-----------------------------------------------------------

Therefore,

$\sf x + \dfrac{- 13}{ \: \: \: \: \: 6} = - 5$

Transposing -13/6 from LHS to RHS, changing it's sign,

$\sf x = - 5 - \dfrac{- 13}{ \: \: \: \: \: 6}$

The LCM of 1 and 6 is 6, so subtracting the fractions using their demominators,

$\sf x = \dfrac{ (- 5 \times 6) - (- 13 \times 1)}{6}$

On simplifying,

$\sf x = \dfrac{- 30 + 13}{6}$

Subtracting -13 from -30,

$\underline{ \boxed{\sf x = \dfrac{ - 17}{ \: \: \: \: 6}}}$

• Hence, the other rational number is -17/6.

________________________________