A)
[tex]3 - \frac{2}{5} = \frac{5 \times 3 - 2}{5} = \frac{13}{5} [/tex]
B)
[tex]1 - \frac{1}{4} = \frac{4 \times 1 - 1}{4} = \frac{3}{4} [/tex]
C)
[tex]2 \frac{1}{2} - 1 \frac{1}{3} = \frac{2 \times 2 + 1}{2} - \frac{1 \times 3 + 1}{3} = [/tex]
[tex] = \frac{5}{2} - \frac{4}{3} = \frac{3 \times 5 - 2 \times 4}{6} = \frac{15 - 8}{6} = [/tex]
[tex] = \frac{7}{6} [/tex]
D)
[tex]1 \frac{1}{5} - 1 = \frac{1 \times 5 + 1}{5} - 1 = \frac{6}{5} - 1 = [/tex]
[tex] \frac{6 - 5 \times 1}{5} = \frac{1}{5} [/tex]
E)
[tex]3 \frac{3}{2} - 2 = \frac{3 \times 2 + 3 }{2} - 2 = \frac{9}{2} - 2[/tex]
[tex] = \frac{9 - 2 \times 2}{2} = \frac{5}{2} [/tex]
F)
[tex]2 \frac{1}{5} - 1 \frac{1}{4} = \frac{2 \times 5 + 1}{5} - \frac{1 \times 4 + 1}{4} = [/tex]
[tex] = \frac{11}{5} - \frac{5}{4} = \frac{4 \times 11 - 5 \times 5}{20} = \frac{44 - 25}{20} = [/tex]
[tex] = \frac{19}{20} [/tex]
G)
[tex]3 \frac{1}{4} - 2 \frac{1}{7} = \frac{3 \times 4 + 1}{4} - \frac{2 \times 7 + 1}{7} = [/tex]
[tex] = \frac{13}{4} - \frac{15}{7} = \frac{7 \times 13 - 4 \times 15}{28} [/tex]
[tex] = \frac{91 - 60}{28} = \frac{31}{28} [/tex]
H)
[tex]4 \frac{1}{5} - 2 \frac{1}{10} = \frac{4 \times 5 + 1}{5} - \frac{2 \times 10 + 1}{10} [/tex]
[tex] = \frac{21}{5} - \frac{21}{10} = \frac{2 \times 21 - 21}{10} = \frac{42 - 21}{10} [/tex]
[tex] = \frac{21}{10} [/tex]
I)
[tex]5 - 4 \frac{1}{3} = 5 - \frac{4 \times 3 + 1}{ 3} = 5 - \frac{13}{3} [/tex]
[tex] = \frac{3 \times 5 - 13}{3} = \frac{15 - 13}{3} = \frac{2}{3} [/tex]
