Oblicz, pamiętając o kolejności wykonywania działań. a) 5 3/10-2 4/5-1 3/4- Zadanie 12: Matematyka wokół nas 5. Zeszyt ćwiczeń cz. 1

Rozwiązanie

$a) 5 \frac{3}{10} - 2 \frac{4}{5} - 1 \frac{3}{4} =$

$= 5 \frac{3}{10} - 2 \frac{8}{10} - 1 \frac{3}{4} =$

$= 4 \frac{13}{10} - 2 \frac{8}{10} - 1 \frac{3}{4} = 2 \frac{5}{10} - 1 \frac{3}{4} = 2 \frac{1}{2} - 1 \frac{3}{4} = 2 \frac{2}{4} - 1 \frac{3}{4} = 1 \frac{6}{4} - 1 \frac{3}{4} = \frac{3}{4}$

$b) 12 \frac{5}{6} - 10 \frac{2}{3} + 7 \frac{3}{5} =$

$= 12 \frac{5}{6} - 10 \frac{4}{6} + 7 \frac{3}{5} =$

$= 2 \frac{1}{6} + 7 \frac{3}{5} = 2 \frac{5}{30} + 7 \frac{18}{30} = 9 \frac{23}{30}$

$c) \frac{36}{35} - \frac{5}{7} - \frac{5}{35} =$

$= \frac{36}{35} - \frac{25}{35} - \frac{5}{35} =$

$= \frac{11}{35} - \frac{5}{35} = \frac{6}{35}$

$d) 6 \frac{3}{10} + 3 \frac{4}{5} - 3 \frac{2}{5} + 3 \frac{1}{2} =$

$= 6 \frac{3}{10} + 3 \frac{8}{10} - 3 \frac{2}{5} + 3 \frac{1}{2} =$

$= 9 \frac{11}{10} - 3 \frac{4}{10} + 3 \frac{5}{10} = 6 \frac{7}{10} + 3 \frac{5}{10} = 9 \frac{12}{10} = 10 \frac{2}{10} = 10 \frac{1}{5}$

$e) 10 \frac{1}{6} - (12 \frac{3}{4} - 7 \frac{5}{6}) - 3 \frac{1}{2} =$

$= 10 \frac{1}{6} - (12 \frac{9}{12} - 7 \frac{10}{12}) - 3 \frac{1}{2} = 10 \frac{1}{6} - (11 \frac{21}{12} - 7 \frac{10}{12}) - 3 \frac{1}{2} =$

$= 10 \frac{2}{12} - 4 \frac{11}{12} - 3 \frac{6}{12} = 9 \frac{14}{12} - 4 \frac{11}{12} - 3 \frac{6}{12} =$

$= 5 \frac{3}{12} - 3 \frac{6}{12} = 4 \frac{15}{12} - 3 \frac{6}{12} = 1 \frac{9}{12} = 1 \frac{3}{4}$

$f) 1 \frac{3}{4} + (99 \frac{7}{20} - 89 \frac{2}{5}) - 1 \frac{1}{2} =$

$= 1 \frac{15}{20} + (98 \frac{27}{20} - 89 \frac{8}{20}) - 1 \frac{10}{20} =$

$= 1 \frac{15}{20} + 9 \frac{19}{20} - 1 \frac{10}{20} = 10 \frac{34}{20} - 1 \frac{10}{20} =$

$= 9 \frac{24}{20} = 10 \frac{4}{20} = 10 \frac{1}{5}$

Daniel

Nauczyciel matematyki

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