Question

What is k. I am guessing k stands for how much -1/3 needs to be multiplied by to get -7/6

Answer 1

`\huge \boxed{\mathfrak{Question} \downarrow}`

• Find the value of 'k' in the question given.

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

`\large \sf- \frac { 7 } { 6 } = - \frac { 1 } { 3 } k \\`

• Multiply both sides by -3, the reciprocal of
  `\sf-(1)/(3)`.

`\large \sf-(7)/(6)\left(-3\right)=k \\`

• Express
  `\sf -(7)/(6)\left(-3\right)` as a single fraction.

`\large \sf(-7\left(-3\right))/(6)=k \\`

• Multiply -7 and -3 to get 21.

`\large \sf(21)/(6)=k \\`

• Reduce the fraction
  `\sf(21)/(6)` to its lowest terms by extracting and cancelling out 3.

`\large \sf(7)/(2)=k \\`

• OR

`\large \boxed{ \bf \: k = (7)/(2) = 3(1)/(2) = 3.5}`

• NOTE :- Yes, your assumption is right. 'k' is the number which should be multiplied by -1/3 in order to get -7/6.