Question

The product of two rational number is (-28/81) if one of them is -2/3 then find the other​

Answer 1

Step-by-step explanation:

The product of two rational numbers = \frac{28}{81}

81

28

One of the number = \frac{14}{9}

9

14

{\blue{\underline{\underline{\bold{To\:Find:-}}}}}

ToFind:−

The other number

{\green{\underline{\underline{\bold{Solution:-}}}}}

Solution:−

Let the number be ' x '

According to the given question:-

\begin{gathered} \frac{14}{9} \times x = \frac{28}{81} \\ \\ \implies x = \frac{28}{81} \times \frac{9}{14} \\ \\ \implies x = \frac{2}{9} \end{gathered}

9

14

×x=

81

28

⟹x=

81

28

×

14

9

⟹x=

9

2

Verification:-

\begin{gathered} \frac{14}{9} \times x = \frac{28}{81} \\ \\ \implies \frac{14}{9} \times \frac{2}{9} = \frac{28}{81} \\ \\ \implies \frac{28}{81} = \frac{28}{81} \end{gathered}

9

14

×x=

81

28

⟹

9

14

×

9

2

=

81

28

⟹

81

28

=

81

28

L.H.S = R.H.S

Hence, verified

Therefore:-

\boxed{The \:other\:number \:is \:\frac{2}{9}}

Theothernumberis

9

2

Answer 2

Given

• One Number = -28/81
• Product of numbers = -2/3

To Find

• Other Number

___________________

We know

$\sf{Product \: of \: two \: Number = One \: Number \: \times Other \: number }$

$\sf{ \: \: \: \: \: \implies\dfrac{ - 28}{81} = \dfrac{ - 2}{3} \times Other \: number }$

$\sf{ \: \: \: \: \: \implies Other \: number = \dfrac{ - 28 \times 3}{81 \times - 2} }$

$\sf{ \: \: \: \: \: \implies Other \: number = \dfrac{ 14}{27 } }$