Question

What is the value of k in the equation 4/9(k+4/7)=3 1/3 ?

Answer 1

`(4)/(9)\left(k+(4)/(7)\right)=3(1)/(3)\\ (4)/(9)\left(k+(4)/(7)\right)=(10)/(3)\\ k+(4)/(7)=(10)/(3)\cdot(9)/(4)\\ k+(4)/(7)=(15)/(2)\\ k=(105)/(14)-(8)/(14)\\ k=(97)/(14)`

Answer 2

The equation given in the question has one unknown variable and so the value of k can definitely be found.
4/9(k + 4/7) = 3 1/3
4/9[(7k + 4)] = 10/3
4/(63k + 36) = 10/3
4 * 3 = 10 * (63k + 36)
12 = 630k + 360
12 - 360 = 630k
- 348 = 630k
Reversing both sides we get
630k = - 348
k = - 348/630
= - 174/315
= - 58/105
So the value of K comes out to be - 58/105 and it is not possible to simplify it further.