Answer
47/72
Work Step by Step
In order to do this problem, recall (1) that addition and subtraction come after multiplication and division in order of operations, (2) that when there is a tie in order of operations, it is done from left to right, and (3) that dividing by a fraction is the same as multiplying by that fraction's reciprocal.
$$\frac{3}{4} \times \frac{6}{5} + \frac{6}{12} - \frac{5}{12} \\ = \frac{18}{20} + \frac{6}{12} - \frac{5}{12} $$
Using common denominators, we obtain:
$$47/72$$
