Sabiranje i oduzimanje mešovitih brojeva - zadaci sa rešenjima

Rešenje:
$1\frac{1}{3}=\frac{3}{3}+\frac{1}{3}=\frac{4}{3}$

Rešenje:
[tex]1\frac{1}{4} + 1\frac{3}{4} = (1+1) + ( \frac{1}{4} + \frac{3}{4} ) = 2 + \frac{4}{4} = 2 + 1 = 3[/tex]

Rešenje:
[tex]3\frac{2}{3} - 2\frac{1}{3} = (3 - 2) + \frac{2}{3} - \frac{1}{3} = 1 + \frac{2 - 1}{3} = 1 + \frac{1}{3} = 1\frac{1}{3}[/tex]

Rešenje:
[tex]5\frac{1}{2} + 1\frac{1}{2} = (5 + 1) + \frac{1}{2} + \frac{1}{2} = 6 + \frac{2}{2} = 6 + 1 = 7[/tex]

Rešenje:
[tex]2\frac{5}{6} - 2\frac{1}{6} = (2 - 2) + \frac{5}{6} - \frac{1}{6} = 0 + \frac{5 - 1}{6} = \frac{4}{6} = \frac{2}{3} [/tex]

Rešenje:
[tex]2\frac{5}{9} + 2\frac{4}{9} = (2 + 2) + \frac{5}{9} + \frac{4}{9} = 4 + \frac{5 + 4}{9} = 4 + \frac{9}{9} = 4 + 1 = 5 [/tex]

Rešenje:
[tex]4\frac{2}{7} - 2\frac{5}{7} = (4 - 2) + \frac{2}{7} - \frac{5}{7} = 2 + (\frac{-3}{7}) = \frac{14 - 3}{7} = \frac{11}{7} [/tex]

Rešenje:
[tex]1\frac{2}{8} + 3\frac{3}{8} = (1 + 3) + (\frac{2}{8} + \frac{3}{8}) = 4 + \frac{5}{8} = 4\frac{5}{8}[/tex]

Rešenje:
[tex]2\frac{3}{6} + 2\frac{5}{6} = (2 + 2) + (\frac{3}{6} + \frac{5}{6}) = 4 + \frac{8}{6} = 4 + \frac{4}{3} = 4 + 1 \frac{1}{3} = 5\frac{1}{3} [/tex]

Rešenje:
[tex]3\frac{4}{9} - 1\frac{2}{9} = (3 - 1) + (\frac{4}{9} - \frac{2}{9}) = 2 + \frac{2}{9} = \frac{18 + 2}{9} = \frac{20}{9} [/tex]

Rešenje:
[tex]2\frac{2}{3} + 4\frac{2}{3} = (2 + 4) + (\frac{2}{3} + \frac{2}{3}) = 6 + \frac{4}{3} = 6 + 1\frac{1}{3} = 7\frac{1}{3} [/tex]

Rešenje:
[tex]2\frac{3}{10} + 1\frac{7}{10} = (2 + 1) + ( \frac{3}{10} + \frac{7}{10} ) = 3 + \frac{10}{10} = 3 + 1 = 4 [/tex]

Rešenje:
[tex]4\frac{9}{10} - 2\frac{1}{10} = (4 - 2) + ( \frac{9}{10} - \frac{1}{10} ) = 2 + (\frac{8}{10}) = 2 + \frac{4}{5} =2 \frac{4}{5}[/tex]

Rešenje:
[tex]4\frac{3}{8} - 3\frac{1}{8} = (4 - 3) + ( \frac{3}{8} - \frac{1}{8} ) = 1 + \frac{2}{8} = 1 + \frac{1}{4} = 1\frac{1}{4}[/tex]

Rešenje:
[tex]2\frac{5}{11} + 3\frac{6}{11} = (2 + 3) + (\frac{5}{11} + \frac{6}{11}) = 5 + \frac{11}{11} = 5 + 1 = 6 [/tex]

Rešenje:
[tex]1\frac{7}{12} + 2\frac{5}{12} = (1 + 2) + (\frac{7}{12} + \frac{5}{12}) = 3 + \frac{12}{12} = 3 + 1 = 4 [/tex]

Rešenje:
[tex]3\frac{3}{11} - 2\frac{5}{11} = (3 - 2) + (\frac{3}{11} - \frac{5}{11}) = 1 + \frac{3 - 5}{11} = 1 + (\frac{-2}{11}) = \frac{11 - 2}{11} = \frac{9}{11} [/tex]

Rešenje:
[tex]2\frac{4}{15} - 1\frac{7}{15} = (2 - 1) + (\frac{4}{15} - \frac{7}{15}) = 1 + \frac{4-7}{15} = 1 + (\frac{-3}{15}) = 1 - \frac{1}{5} = \frac{5 - 1}{5} = \frac{4}{5} [/tex]

Rešenje:
[tex]5\frac{1}{3} + 4\frac{1}{3} = (5 + 4) + (\frac{1}{3} + \frac{1}{3}) = 9 + \frac{1 + 1}{3} = 9 + \frac{2}{3} = 9\frac{2}{3}[/tex]

Rešenje:
[tex]2\frac{7}{20} - 1\frac{3}{20} = (2 - 1) + (\frac{7}{20} - {3}{20}) = 1 + \frac{7-3}{20} = 1 + \frac{4}{20} = 1 + \frac{1}{5} = \frac{5 + 1}{5} = \frac{6}{5} [/tex]

Rešenje:
[tex]4\frac{1}{5} - 3\frac{3}{5} = (4 - 3) + (\frac{1}{5} - \frac{3}{5}) = 1 + (\frac{1-3}{5}) = 1 + \frac{-2}{5} = \frac{5 - 2}{5} = \frac{3}{5} [/tex]