Question

Not sure if I am doing this right..... 14/6y+11/9y

Answer 1

is y under the fractions?

Answer 2

yes

Answer 3

then i assume it wants you to add these together. Assume that there is some value which we will call D out there that this is equal to.

\[\frac{14}{6y}+\frac{11}{9y} = D\]

multiply it all by the lowest denom

\[\frac{14(6y)}{6y}+\frac{11(6y)}{9y} = (6y)D\]
and simplify
\[14+\frac{11(2)}{3} = 6yD\]
now multiply it all again by the lowest denom and simplify
\[14(3)+\frac{11(2)(3)}{3} = 6y(3)D\]
\[14(3)+11(2) = 18yD\]
\[42+22 = 18yD\]
\[42+22 = 18yD\]
i notice here that they are all even so i can divide out a 2
\[42/2+22/2 = 18yD/2\]
\[21+11 = 9yD\]
\[32 = 9yD\]
and finally divide off that 9y
\[\frac{32}{9y} = \frac{9yD}{9y}\]
\[\frac{32}{9y} = D\]
and that should be the brunt of it

Answer 4

of course there is simpler ways to go about it, but they have to deal with remembering certain tricks instead of letting the math work it out

Answer 5

Thank u for the explanation!! I needed that. :)

Answer 6

yer welcome ;)