\( \begin{array}{lll}\text { (a) } \frac{1}{5}+\frac{1}{3} \times \frac{1}{2} & \text { (b) } \frac{2}{3}-\frac{1}{3} \div \frac{1}{2} & \text { (c) } \frac{4}{3}+\frac{2}{9}+\frac{3}{4} \\ \text { (d) } \frac{3}{5}-\left(\frac{2}{3}-\frac{1}{3}\right) & \text { (c) } 2 \frac{3}{4}-1 \frac{1}{2} \times 1 \frac{2}{3} & \text { (f) } 2 \frac{1}{4}+13 \frac{1}{2}-2 \\ \text { (8) } 2 \frac{1}{3} \times\left(2 \frac{5}{6}-1 \frac{2}{3}\right) & \text { (h) } \frac{7}{8}+\left(\frac{1}{2}+2 \frac{1}{8}\right) & \text { (i) } \frac{2}{3}+\frac{1}{2} \times\left(\frac{1}{6}-\frac{1}{4}\right)-\frac{1}{8} \\ \text { (i) } 3 \frac{1}{5}+\left(\frac{2}{5}\right)^{2} & \text { (k) } 3 \frac{1}{2} \times 2-\left(\frac{1}{2}\right)^{2} & \text { (l) } \sqrt{1+5 \times\left(-\frac{1}{2}\right)^{2}} \\ \text { (m) } \sqrt[3]{-\frac{27}{8}}+\left(-2-\left(-\frac{1}{2}\right)^{2}\right) & \text { (n) } \frac{3 \frac{1}{4}+\left(1 \frac{1}{2}\right)^{2}}{4 \frac{1}{8}+1 \frac{1}{2}} & \end{array} \)
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Bonus Knowledge
Alright, let’s jump into some math fun! First up, understanding the order of operations is key! Remember the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). This ensures you're doing calculations in the correct order. For instance, in (a) \(\frac{1}{5}+\frac{1}{3} \times \frac{1}{2}\), you multiply first, then add! And did you know that fractions can represent more than just portions? They pop up in real life more often than you’d think, like when cooking or baking! If a recipe calls for \(\frac{1}{4}\) of a cup of sugar and you want to make half the recipe, you’ll need to find \(\frac{1}{4} \div 2\) (which is \(\frac{1}{8}\) cup). Math really does help with delicious treats!
