(d) Calculate the following. \( \begin{array}{llll}\text { (i) } \frac{1}{3}+\frac{2}{3} & \text { (ii) } \frac{2}{5}+\frac{3}{7} & \text { (iii) } \frac{1}{6}+\frac{4}{5}+\frac{2}{3} & \text { (iv) } \frac{3}{4}+\frac{11}{12}+\frac{5}{6}+\frac{7}{8} \\ \text { (v) } \frac{6}{7}-\frac{3}{7} & \text { (vi) } \frac{4}{5}-\frac{1}{6}+\frac{2}{3} & \text { (vii) }-\frac{7}{8}+\frac{4}{5}-\frac{11}{2} & \text { (viii) } \frac{3}{4}-\frac{7}{10}+\frac{5}{16}-\frac{3}{20}\end{array} \)
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The Deep Dive
First, let's dive into some fun facts about fractions: Did you know that fractions have been used since ancient times? The Egyptians were among the first to use fractions as far back as 3000 BC, primarily for measuring and trade! They used a system based on unit fractions, which made their arithmetic quite unique. Now, onto a real-world application: Fractions are not just numbers in a textbook; they are essential in everyday life! From cooking recipes where you might need to adjust ingredient quantities, to calculating discounts while shopping, understanding fractions can save you money and time! So, the next time you're whipping up a delicious meal or snagging a great deal, remember—fractions are your best friend!
