To solve the problem of adding the fractions \(\frac{2}{3}\) and \(\frac{4}{5}\), we need to find a common denominator. The denominators here are 3 and 5, and their least common multiple (LCM) is 15. 1. Convert each fraction to have the common denominator of 15: - For \(\frac{2}{3}\), multiply both the numerator and the denominator by 5: \[ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \] - For \(\frac{4}{5}\),…Read More