Question

Please Help-
K + ⅓ = 5 ⅛ | K = ?
Show Your Reasoning.

Answer 1

`4(19)/(24)`

Explanation:

I hope I did this right:

So first thing to do is set up the equation.

`K + (1)/(3) = 5(1)/(8)`

Next thing to to is subtract 1/3 from both sides to get:

`K = 5(1)/(8) - (1)/(3)`

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

`K = 5(3)/(24)`
`-(8)/(24)`

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K =
`(123)/(24)`
`-(8)/(24)`

Finally, you subtract 123 over 24 by 8 over 24.

K =
`(123)/(24) - (8)/(24) = (115)/(24)`

Then just simplfy the 115/24 to get

`4(19)/(24)`