[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
- Find the value of 'k' in the question given.
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf- \frac { 7 } { 6 } = - \frac { 1 } { 3 } k \\ [/tex]
- Multiply both sides by -3, the reciprocal of [tex]\sf-\frac{1}{3}[/tex].
[tex] \large \sf-\frac{7}{6}\left(-3\right)=k \\ [/tex]
- Express [tex]\sf -\frac{7}{6}\left(-3\right)[/tex] as a single fraction.
[tex] \large \sf\frac{-7\left(-3\right)}{6}=k \\ [/tex]
- Multiply -7 and -3 to get 21.
[tex] \large \sf\frac{21}{6}=k \\ [/tex]
- Reduce the fraction [tex]\sf\frac{21}{6}[/tex] to its lowest terms by extracting and cancelling out 3.
[tex] \large \sf\frac{7}{2}=k \\ [/tex]
[tex] \large \boxed{ \bf \: k = \frac{7}{2} = 3\frac{1}{2} = 3.5}[/tex]
- NOTE :- Yes, your assumption is right. 'k' is the number which should be multiplied by -1/3 in order to get -7/6.
