Question

How to solve this question??​

Answer 1

Answer:

4/3 is the other rational no.

Step-by-step explanation:

Let the other rational no. be x

Here in this question it is saying that if we multiply two rational nos. which is -9 and x the ans is -12

-9 × x = -12

-9x=-12

x=-12/-9

x=4/3

Answer 2

Question :

• The product of two rational numbers is -9 . If one of the numbers is -12 . Find the others.

‎

‎

Answer :

❒ The other number which when multiplied by -12 gives -9 is $\large{\mathfrak\red{\frac{3}{4}}}$.

____________________‎

‎

$\bf\:Step~-~wise~Calculation$

‎

Given :

• Product of two rational numbers is ( -9 )

• One of the number is ( -12 )

‎

‎

To find :

• The other number which when multiplied by -12 gives -9

‎

Concept :

In this question we are said that the product of two rational numbers is ( -9 ) , one number is given as ( -12 )‎ . We need to find the other number. So for this we would assume the required number as any variable. Then after we would form an equation following the criteria given in the question. Solving the equation we would get our final answer.

‎Hope am clear let's solve :D~

‎

‎

Assumption :

Let the other number be x.

‎

‎

Solution :

According to the question :

Product of x and ( -12 ) = ( -9 )

$\tt\implies\:x \times (-12) =(-9)$

Multiplying the terms in LHS

$\tt\implies\:-12x =(-9)$

$\tt\implies\:-12x =-9$

Negative signs gets cancelled out from both sides

$\tt\implies\:\cancel{-}12x =\cancel{-}9$

$\tt\implies\:12x =9$

Transposing 12 to RHS it goes to the denominator

$\tt\implies\:x =\frac{9}{12}$

Reducing the fraction to the lower terms

$\tt\implies\:x =\cancel{\frac{9}{12}}$

$\small{\underline{\boxed{\mathrm{\implies\:x=\frac{3}{4}}}}}$ ★

____________________‎

Verification :

Plugging the value of x as 3/4 in the equation we had framed earlier :

$\tt\:x \times (-12) =(-9)$

$\tt\leadsto\:\frac{3}{4} \times (-12) =(-9)$

Multiplying the numbers in LHS

$\tt\leadsto\:\frac{-36}{4} =(-9)$

Reducing the fraction in LHS to lowest terms

$\tt\leadsto\:\cancel{\frac{-36}{4} }=(-9)$

$\tt\leadsto\:(-9)=(-9)$

$\tt\leadsto\:LHS=RHS$

Hence Verified !~

____________________‎