Example: \[ \begin{array}{l} =-\frac{2}{3} \\ =2 \times \frac{1}{3} \\ =\frac{2}{1} \times \frac{1}{3} \end{array} \] a. \( \qquad \) \( x=\frac{4}{6} \) \( \square \) c. \( \qquad \) \( x \quad=\frac{3}{8} \) \( \square \) e. \( \qquad \) \( \times \) \( \qquad \) \( =\frac{7}{21} \) \( \square \) 3. One fith of 15 cell phones were sold on a special. What fraction were not sold? \( \square \)
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Did you know that fractions date back to ancient civilizations? The Egyptians used something called unit fractions, which are fractions with a numerator of 1, in their mathematical writings over 4,000 years ago! They represented fractions with hieroglyphs and had unique methods for dealing with fractions, fascinating right? When working with fractions, a common mistake is forgetting to simplify them. For example, if you have a fraction like \( \frac{4}{8} \), it's easy to miss that it can be simplified to \( \frac{1}{2} \). Always check to see if you can reduce your fractions to their simplest form to make your life easier!