Question

Can someone please help me on how to verify my solution?

Answer 1

Question: \[3d - \frac{ 11 }{ 4 } = \frac{ 3 }{ 2 }\]
My answer:
\[3d - \frac{ 11 }{ 4 } = \frac{ 3 }{ 2 }\]\[4(3d) - 4\frac{ 11 }{ 4 } = 4\frac{ 3 }{ 2 }\]\[4(3d) - ^14\frac{ 11 }{ 4̶ } = ^24\frac{ 3 }{ 2̶ }\]\[12d - 1(11) = 2(3)\]\[12d - 11 = 6\]\[12d - 11 + 11 = 6 + 11\]\[12d = 17\]\[\frac{ 12d }{ 12 } = \frac{ 17 }{ 12 }\]\[d = \frac{ 17 }{ 12 }\]
So now that I have my (hopefully correct) answer, how do I do the verification? As in, showing proof of the solution by calculating LS = RS. I've been stuck on this for quite a while, and I hope someone can help me with this... I've only gotten the first line so far, which I think is: \[LS = 3\left(\begin{matrix}\frac{ 17 }{ 12 } \\\end{matrix}\right) - \left(\begin{matrix}\frac{ 11 }{ 4 } \\\end{matrix}\right)................... RS = \frac{ 3 }{ 2 }\]
If anyone could help me out with the rest I would really appreciate it! Thank you very much!!

Answer 2

now you have a common denominator :)