Example 4 Try ItI e. (1(1)/(2)-4.5)cdot (0.8+8(1)/(5)) f. (-6.25+2(3)/(4))cdot (4.6-7(1)/(2))cdot 4(1)/(2)

1. Convert mixed numbers to improper fractions<br /> $1\frac{1}{2} = \frac{3}{2}$, $8\frac{1}{5} = \frac{41}{5}$, $2\frac{3}{4} = \frac{11}{4}$, $7\frac{1}{2} = \frac{15}{2}$, $4\frac{1}{2} = \frac{9}{2}$.<br /><br />2. Perform operations in expression e<br /> Calculate $(\frac{3}{2} - 4.5) \cdot (0.8 + \frac{41}{5})$. First, $\frac{3}{2} - 4.5 = \frac{3}{2} - \frac{9}{2} = -\frac{6}{2} = -3$. Then, $0.8 + \frac{41}{5} = \frac{4}{5} + \frac{41}{5} = \frac{45}{5} = 9$. Multiply: $-3 \cdot 9 = -27$.<br /><br />3. Perform operations in expression f<br /> Calculate $(-6.25 + \frac{11}{4}) \cdot (4.6 - \frac{15}{2}) \cdot \frac{9}{2}$. First, $-6.25 + \frac{11}{4} = -\frac{25}{4} + \frac{11}{4} = -\frac{14}{4} = -\frac{7}{2}$. Then, $4.6 - \frac{15}{2} = \frac{46}{10} - \frac{15}{2} = \frac{23}{5} - \frac{15}{2} = \frac{46}{10} - \frac{75}{10} = -\frac{29}{10}$. Multiply: $-\frac{7}{2} \cdot -\frac{29}{10} \cdot \frac{9}{2} = \frac{203}{20} \cdot \frac{9}{2} = \frac{1827}{40} = 45.675$.