d) \( \left(\frac{2}{3}-\frac{1}{4}\right) \frac{4}{5} \)

To start, simplify the expression inside the parentheses: \( \frac{2}{3} - \frac{1}{4} \). To do this, find a common denominator, which is 12. Changing both fractions gives us \( \frac{8}{12} - \frac{3}{12} = \frac{5}{12} \). Now, multiply this result by \( \frac{4}{5} \): \[ \frac{5}{12} \times \frac{4}{5} = \frac{5 \cdot 4}{12 \cdot 5} = \frac{20}{60} = \frac{1}{3}. \] So, the final answer is \( \frac{1}{3} \). Want to know a secret? The greatest trick about fractions is that multiplication often makes them easier to work with! When you can simplify fractions, it’s like throwing away extra weight so you can run faster through the math jungle! And let’s not forget about common mistakes while subtracting fractions! Many get tangled up by forgetting to convert both fractions to a common denominator before subtracting, or they may rush the multiplication step by not simplifying first. Always check those denominators!