Question

6. The sum of two rational numbers is -5/4. If one of them is -⅗, find the other.​

Answer 1

Answer:

x = -13/20

Step-by-step explanation:

x + (-3/5) = (-5/4)

x = 3/5 - 5/4

x = 12-25 / 20

x = -13/20

Answer 2

$\large \bf{Appropriate~question:}$

The sum of two rational numbers is $\sf \dfrac{-5}{4}$. If one of them is $\sf {-3}$, then find the other.

$\large \bf {Solution:}$

• It is given that $\sf \dfrac{-5}{4}$ is the sum of two rational numbers.

• Also, given that $\sf -3$ is one of the number.

• Now, we have to find the other rational number.

• Let the unknown rational number be z.

• According to the question, we will get an equation as follows :

$\sf : \implies z+ {( - 3)} = \dfrac{ - 5}{4}$

• Now, let's solve this and get the value of z.

$\sf : \implies z + ( - 3) = \dfrac{ - 5}{4}$

$\sf : \implies z - 3 = \dfrac{ - 5}{4}$

$\sf : \implies z = \dfrac{ - 5}{4} + \dfrac{3}{1}$

• LCM of 4 and 1 is 4.

$\sf : \implies z = \dfrac{ - 5 + 12}{4}$

$\sf : \implies z = \dfrac{ 7}{4}$

• ${\pmb{\bf{Therefore,~the~unknown~ rational~ number~is ~ \dfrac{7}{4}}}}$.

$\large \bf{Verification:}$

• Now, let's verify whether this is the answer is right or not.

• For verifying, we shall substitute the value of z in the equation and solve :

$\sf : \implies z + ( - 3) = \dfrac{ - 5}{4}$

$\sf: \implies \dfrac{ 7}{4} - 3 = \dfrac{ - 5}{4}$

$\sf : \implies \dfrac{ 7}{4} - \dfrac{3}{1} = \dfrac{ - 5}{4}$

• LCM of 4 and 1 is 4.

$\sf: \implies \dfrac{ 7- 12}{4} = \dfrac{ - 5}{4}$

$\sf: \implies \dfrac{ - 5}{4} = \dfrac{ - 5}{4}$

• $\pmb{\bf{LHS=RHS}}$

• $\pmb{\bf{Henceforth,~verified!}}$