Question

2/5k - 3 1/2. K= 15
EVALUATE

Answer 1

Exact form
K=-150\31

Answer 2

Solving the expression:
`(2)/(5)K-3(1)/(2)K =15` we get
`\mathbf{K=(-150)/(31) \ or \ \ K=-4(26)/(31) }`

Explanation:

We need to solve the expression:
`(2)/(5)K-3(1)/(2)K =15` and find value of k

Solving:

`(2)/(5)K-3(1)/(2)K =15`

Convert mixed fraction into improper fraction

`(2)/(5)K-(7)/(2)K =15`

Taking LCM of 5 and 2 we get 10

`(2*2K-7*5K)/(10) =15\\(4K-35K)/(10) =15\\(-31K)/(10) =15`

Divide both sides by -31/10

`(-31K)/(10)*(-10)/(31)=15* (-10)/(31)\\K=(-150)/(31) \\K=-4(26)/(31)`

So, solving the expression:
`(2)/(5)K-3(1)/(2)K =15` we get
`\mathbf{K=(-150)/(31) \ or \ \ K=-4(26)/(31) }`