Step 1: Convert mixed fractions into improper fractions.
\[ 3\frac{2}{5}=\frac{17}{5}, \qquad 2\frac{1}{10}=\frac{21}{10} \]Step 2:
\[ =\frac{17}{5}-2+\frac{21}{10} \]Step 3: Take LCM of 5 and 10 = 10.
\[ =\frac{34}{10}-\frac{20}{10}+\frac{21}{10} \] \[ =\frac{35}{10} =\frac{7}{2} =3\frac{1}{2} \]Answer: \(3\frac{1}{2}\)
Step 1:
\[ 2\frac{1}{4}=\frac{9}{4}, \qquad 3\frac{2}{3}=\frac{11}{3} \]Step 2:
\[ =8-\frac{9}{4}-\frac{11}{3} \]Step 3: Take LCM of 4 and 3 = 12.
\[ =\frac{96}{12}-\frac{27}{12}-\frac{44}{12} \] \[ =\frac{25}{12} =2\frac{1}{12} \]Answer: \(2\frac{1}{12}\)
Step 1:
\[ 2\frac{3}{8}=\frac{19}{8}, \qquad 1\frac{1}{4}=\frac{5}{4}, \qquad 4\frac{3}{16}=\frac{67}{16}, \qquad 4\frac{3}{8}=\frac{35}{8} \]Step 2:
\[ =\frac{19}{8}-\frac{5}{4}+\frac{67}{16}-\frac{35}{8} \]Step 3: Take LCM of 8, 4 and 16 = 16.
\[ =\frac{38}{16}-\frac{20}{16}+\frac{67}{16}-\frac{70}{16} \] \[ =\frac{15}{16} \]Answer: \(\frac{15}{16}\)
Step 1:
\[ 3\frac{1}{2}=\frac{7}{2}, \qquad 4\frac{1}{4}=\frac{17}{4}, \qquad 1\frac{3}{8}=\frac{11}{8} \]Step 2:
\[ =8-\frac{7}{2}+\frac{17}{4}-\frac{11}{8} \]Step 3: Take LCM of 2, 4 and 8 = 8.
\[ =\frac{64}{8}-\frac{28}{8}+\frac{34}{8}-\frac{11}{8} \] \[ =\frac{59}{8} =7\frac{3}{8} \]Answer: \(7\frac{3}{8}\)