Question

7.
The product of two rational numbers is -16/9. if one of the number is -4/3 find the other. please friend answers this very argent​

Answer 1

Appropriate Question :

• The product of two rational numbers is -16/9. if one of the number is -4/3 find the other.

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Given :

• Product of two numbers is -16/9

• One of the number is -4/3

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To find :

• The other number

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Assumption :

• Let the required other number be x

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Solution :

According to the question -

Product of two numbers = -16/9

$\sf\implies\:x \times (\frac{-4}{3}) = \frac{-16}{9}$

Multiplying the numbers in LHS

$\sf\implies\: \frac{-4x}{3} = \frac{-16}{9}$

Cross multiplying

$\sf\implies\: (-4x) \times 9 = (-16) \times 3$

$\sf\implies\: -36x = -48$

Negative signs from both sides gets cancelled

$\sf\implies\: \cancel{-}36x = \cancel{-}48$

$\sf\implies\:36x = 48$

Transposing 36 to RHS it goes to the denominator

$\sf\implies\:x = \frac{48}{36}$

Reducing the fraction to lower terms

$\sf\implies\:x = \cancel{\frac{48}{36}}$

$\small{\underline{\boxed{\mathrm{\implies\:x=\frac{4}{3}}}}}$ $\sf\color{teal}{\bigstar}$

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Verification :

Plugging the value of x as 4/3 in the equation framed earlier -

$\sf\:x \times (\frac{-4}{3}) = \frac{-16}{9}$

$\sf\dashrightarrow\:\frac{4}{3} \times (\frac{-4}{3}) = \frac{-16}{9}$

Multiplying the numbers in LHS

$\sf\dashrightarrow\:\frac{-16}{9}= \frac{-16}{9}$

$\bf\dashrightarrow\:LHS=RHS$

Hence Verified !~

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Henceforth -

❒ The other number is $\large{\mathfrak\red{\frac{4}{3}}}$

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Answer 2

✬ The other number is 4/3. ✬

Solution:-

Given:-

• The product of two rational numbers is -16/9.
• The one of the number is -4/3.

To find:-

• The other number.

Step-by-step explanation:

• Let the other number be x.

$\\ :\implies\sf{ - \frac{4}{3} \times x = \frac{ - 16}{9}} \\ \\ : \implies \sf{x = \frac{ (- 16) \times 3}{9 \times ( - 4)} } \\ \\ : \implies \sf{x = \frac{ \cancel{ -} \: \cancel{ 48}}{ \cancel{- } \: \cancel{36}}} \\ \\ : \implies \underline{\boxed{\mathfrak{ \pink{x = \frac{4}{3}}}}} \: \bigstar$

• So,The other number is 4/3.