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Математика592 Вычислите: a) \(3\frac{1}{2}-5\frac{1}{3}\); \(-\frac{1}{3}+2\frac{1}{5}\); \(-1\frac{1}{2}-3\frac{1}{9}\); б) \(-7\frac{1}{3}-1\frac{1}{2}\); \(-3\frac{1}{2}+\frac{1}{9}\); \(-4\frac{1}{5}-(-\frac{1}{2})\); в) \(3\frac{2}{5}-5\frac{1}{2}\); \(2\frac{1}{9}-9\frac{1}{4}\); \(3\frac{1}{7}-(-\frac{12}{5})\).
Ответ:
Ответ: а) \(-\frac{11}{6} = -1\frac{5}{6}\); \(\frac{28}{15} = 1\frac{13}{15}\); \(-\frac{43}{18} = -2\frac{7}{18}\); б) \(-\frac{55}{6} = -9\frac{1}{6}\); \(-\frac{61}{18} = -3\frac{7}{18}\); \(-\frac{37}{10} = -3\frac{7}{10}\); в) \(-\frac{57}{10} = -5\frac{7}{10}\); \(-\frac{589}{36} = -16\frac{13}{36}\); \(\frac{551}{35} = 15\frac{26}{35}\)
a) \(3\frac{1}{2}-5\frac{1}{3} = \frac{7}{2}-\frac{16}{3} = \frac{21}{6}-\frac{32}{6} = \frac{21-32}{6} = \frac{-11}{6} = -1\frac{5}{6}\)
\(-\frac{1}{3}+2\frac{1}{5} = -\frac{1}{3}+\frac{11}{5} = -\frac{5}{15}+\frac{33}{15} = \frac{-5+33}{15} = \frac{28}{15} = 1\frac{13}{15}\)
\(-1\frac{1}{2}-3\frac{1}{9} = -\frac{3}{2}-\frac{28}{9} = -\frac{27}{18}-\frac{56}{18} = \frac{-27-56}{18} = \frac{-83}{18} = -4\frac{11}{18}\)
б) \(-7\frac{1}{3}-1\frac{1}{2} = -\frac{22}{3}-\frac{3}{2} = -\frac{44}{6}-\frac{9}{6} = \frac{-44-9}{6} = \frac{-53}{6} = -8\frac{5}{6}\)
\(-3\frac{1}{2}+\frac{1}{9} = -\frac{7}{2}+\frac{1}{9} = -\frac{63}{18}+\frac{2}{18} = \frac{-63+2}{18} = \frac{-61}{18} = -3\frac{7}{18}\)
\(-4\frac{1}{5}-(-\frac{1}{2}) = -\frac{21}{5}+\frac{1}{2} = -\frac{42}{10}+\frac{5}{10} = \frac{-42+5}{10} = \frac{-37}{10} = -3\frac{7}{10}\)
в) \(3\frac{2}{5}-5\frac{1}{2} = \frac{17}{5}-\frac{11}{2} = \frac{34}{10}-\frac{55}{10} = \frac{34-55}{10} = \frac{-21}{10} = -2\frac{1}{10}\)
\(2\frac{1}{9}-9\frac{1}{4} = \frac{19}{9}-\frac{37}{4} = \frac{76}{36}-\frac{333}{36} = \frac{76-333}{36} = \frac{-257}{36} = -7\frac{5}{36}\)
\(3\frac{1}{7}-(-\frac{12}{5}) = \frac{22}{7}+\frac{12}{5} = \frac{110}{35}+\frac{84}{35} = \frac{110+84}{35} = \frac{194}{35} = 5\frac{19}{35}\)
Ответ: а) \(-\frac{11}{6} = -1\frac{5}{6}\); \(\frac{28}{15} = 1\frac{13}{15}\); \(-\frac{43}{18} = -2\frac{7}{18}\); б) \(-\frac{55}{6} = -9\frac{1}{6}\); \(-\frac{61}{18} = -3\frac{7}{18}\); \(-\frac{37}{10} = -3\frac{7}{10}\); в) \(-\frac{57}{10} = -5\frac{7}{10}\); \(-\frac{589}{36} = -16\frac{13}{36}\); \(\frac{551}{35} = 15\frac{26}{35}\)
Похожие
- Выполните действия: a) \(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\); в) \(\frac{3}{7}-\frac{11}{14}+\frac{1}{28}\); д) \(\frac{2}{3}-\frac{1}{5}+\frac{4}{15}\); б) \(\frac{1}{9}-\frac{1}{3}+\frac{11}{18}\); г) \(\frac{1}{8}-\frac{1}{2}+\frac{1}{4}\); e) \(-\frac{1}{3}+\frac{1}{4}-\frac{5}{12}\).
- Вычислите (№ 588-589): a) \(\frac{3}{7}-(\frac{1}{2}+\frac{1}{4})\); в) \(-\frac{2}{5}+(\frac{1}{10}-\frac{7}{15})\); б) \(-\frac{3}{7}+(\frac{1}{14}-\frac{2}{21})\); г) \(\frac{2}{5}-(\frac{9}{10}-\frac{1}{3})\); д) \(\frac{3}{14}-\frac{11}{28}-\frac{1}{2}\); e) \((\frac{2}{7}-\frac{1}{14})-\frac{5}{21}\).
- a) -3,5+(4,1 – 7,1); б) (-2,3-7,1) -4,2; в) -0,15-(-2,7-0,15); г) (-4,1-0,42) + 7; д) -2,9-(3,11-0,49); e) 7,4-(8,1 – 9,17).
- Найдите значение выражения (№ 590-591): a) \((\frac{1}{2}-\frac{2}{3})-(\frac{1}{3}+\frac{1}{4})\); б) \((\frac{2}{3}-\frac{1}{5})+(\frac{1}{3}-\frac{2}{5})\); в) \((\frac{1}{2}-\frac{1}{5})-(\frac{1}{3}-\frac{3}{4})\); г) \((\frac{2}{5}-\frac{6}{7})-(\frac{3}{7}-\frac{9}{10})\); д) \((\frac{5}{9}-\frac{1}{2})+(\frac{1}{6}-\frac{1}{3})\); e) \((\frac{2}{5}-\frac{2}{3})-(\frac{3}{7}-\frac{3}{5})\).
- 591 a) (3,5 - 2,9) - (3,7-9,1); б) (1,4-3,1)+(5,6-8,7); в) (7,2-9,13)-(4-8,23); г) (0,48 - 1,2) - (0,92 – 1,4); д) (1,5-6,1) + (1,9 – 9,1); e) (3,9-10)-(8 -9,29).
