6. Multiply and simplify. \( \begin{aligned} \text { Example: } \begin{array}{l}\frac{6}{4} \times \frac{5}{2} \\ \\ =\frac{30}{8} \\ \\ =3 \frac{6}{8} \\ \\ =3 \frac{3}{4}-\text { HCFis } 2\end{array} \\ \)\begin{tabular}{rl}\( \begin{array}{ll}\text { a. } \frac{3}{2} \times \frac{7}{6} & =\end{array} \) & \text { C. }\( \frac{6}{3} \times \frac{6}{5}= \) \\ \hline\end{tabular}\end{aligned}

To solve for \( \frac{3}{2} \times \frac{7}{6} \): First, multiply the numerators: \( 3 \times 7 = 21 \). Next, multiply the denominators: \( 2 \times 6 = 12 \). So, \( \frac{3}{2} \times \frac{7}{6} = \frac{21}{12} \). Now simplify: The highest common factor (HCF) of 21 and 12 is 3. So, divide both the numerator and the denominator by 3: \( \frac{21 \div 3}{12 \div 3} = \frac{7}{4} = 1 \frac{3}{4} \). Now let's solve for \( \frac{6}{3} \times \frac{6}{5} \): First, simplify \(\frac{6}{3} = 2\): Now multiply with \(\frac{6}{5}\): \( 2 \times \frac{6}{5} = \frac{12}{5} \). This fraction cannot be simplified further, so: \( \frac{12}{5} = 2 \frac{2}{5} \). Final answers: A. \( \frac{3}{2} \times \frac{7}{6} = 1 \frac{3}{4} \) C. \( \frac{6}{3} \times \frac{6}{5} = 2 \frac{2}{5} \)