The least common denominator is 12, so multiply m/4 by 3/3 and m/3 by 4/4

(3m/12) + (4m/12)

Add the fractions together

7m/12

B. I think this is what you mean: (x/2) – [(x-2)/2]

The denominator is already the same, so simply subtract the numerators

(x-(x-2))/2 => 2/2 = 1

C. [(8m^2)/x] * (y/mx)

Multiply the numerators together and multiply the denominators together:

(8*(m^2)*y)/(m*x^2)

There is an m in both the numerator and denominator, so you can “cancel” one out, so your left with:

8my/(x^2)

D. (2/3)/(5/3)

Invert the second fraction and you can multiply the result:

(2/3) * (3/5)

Multiply the numerators together and the denominators

6/15

Simplify (both the numerator and denominator are divisible by 3)

2/5 is the final answer