Question

I will mark brainliest, Please answer d). How do I do this question and what is the answer.

So far I have done:
3d - 11/4 +11/4 = 3/2 + 11/4
3d = 3/2 + 11/4

How do I find a common denominator? Can someone explain how I would find a common denominator in this question.

Answer 1

The lowest common denominator of the two fractions is 4 because it is the smallest number that both fractions can be transformed into. 3/2 is multiplied by 2 to create 6/4 which can be added to 11/4.

Answer 2

we could add the left-side and then cross-multiply and so on, OR we can simply get the LCD of all denominators, in this case 4,2 so our LCD will just be 4, and multiply both sides by 4, that way doing away with the denominators, so let's do so

$\bf 3d-\cfrac{11}{4}=\cfrac{3}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( 3d-\cfrac{11}{4} \right)=4\left( \cfrac{3}{2} \right)}\implies 12d-11=6 \\\\\\ 12d=17\implies d=\cfrac{17}{12}\implies d=1\frac{5}{12}$