Question 80867
QUESTION:



-5/8 = k/4


ANSWER:



To solve such fraction, you have to eliminate all the terms together with the variable (here k).



Here the given fraction is,

-5/8 = k/4

We need to solve it for the variable  'k'



Here the numbers in the denominators are 8 and 4.



Multiply the whole expression  with 32 (becoz, 8 * 4 = 32 )



==> 32 * (-5/8) = 32 * ( k/4)



==> 4 * -5 = 8 * k



==> -20 = 8k



Now divide the whole expression by 8 ( because we need to find the value of k, so eliminate all other terms together with k.)



==> -20/8 = 8k/8



==> -20/8 = k



==> k = -20/8, which can be again simplified, then we have,



k = -5/2




To check your answer, plugg the value of k in the given expression, then you will obtain, right side = left side.



Hope you you found this method useful.


Regards.


Praseena.