e. \( \frac{4}{3}-\frac{5}{7}= \)

To solve \( \frac{4}{3} - \frac{5}{7} \), we first need a common denominator. The least common multiple of 3 and 7 is 21. Rewriting the fractions gives us \( \frac{4 \times 7}{3 \times 7} - \frac{5 \times 3}{7 \times 3} = \frac{28}{21} - \frac{15}{21} \). Now, you simply subtract: \( \frac{28 - 15}{21} = \frac{13}{21} \). Voilà! Want to impress your friends with more about fractions? Did you know that the concept of fractions dates back to ancient civilizations, like the Egyptians, who used fractions in their everyday transactions and even in geometry! They had unique symbols to represent them, making math quite the adventure in their times.