The product of two rational number is (-28/81) if one of them is -2/3 then find the other
Answers
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
Given
- One Number = -28/81
- Product of numbers = -2/3
To Find
- Other Number
___________________
We know