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МатематикаВопрос:
Выполните сложение и вычитание: 1) \(15\frac{17}{26} + 22\frac{3}{26} =\) 2) \(209\frac{1}{29} + 105\frac{15}{29} =\) 3) \(136\frac{6}{31} + 107\frac{7}{31} =\) 4) \(64\frac{9}{10} + 12\frac{1}{10} =\) 5) \(141\frac{11}{40} - 41\frac{21}{40} =\) 6) \(419\frac{8}{23} - 105\frac{23}{23} =\) 7) \(25 - 24\frac{18}{23} =\) 8) \(55\frac{113}{144} - 8 =\) 9) \(8\frac{2}{74} - 1\frac{7}{74} =\) 10) \(6\frac{3}{11} - 2 =\) 11) \(51 - 1\frac{7}{8} =\) 12) \(5\frac{5}{4} - 2\frac{1}{4} =\) 13) \(36\frac{9}{20} - 3 =\) 14) \(81\frac{2}{14} - 63\frac{7}{14} =\) 15) \(85\frac{1}{4} - 71\frac{3}{4} =\) 16) \(26\frac{19}{25} + 35\frac{1}{25} =\) 17) \(19\frac{6}{17} + 29 =\) 18) \(203\frac{7}{41} - 40\frac{6}{41} =\) 19) \(7\frac{7}{8} + 59\frac{7}{8} =\) 20) \(35\frac{10}{13} - 25\frac{12}{13} =\) 21) \(506\frac{9}{13} - 72 =\) 22) \(29 - 18\frac{27}{30} =\) 23) \(19\frac{13}{149} - 16 =\) 24) \(4\frac{4}{15} - 1\frac{9}{15} =\) 25) \(8\frac{6}{23} - 3 =\) 26) \(6 - 1\frac{5}{7} =\) 27) \(1\frac{13}{15} - 1\frac{2}{15} =\) 28) \(28\frac{7}{20} - 7 =\) 29) \(8\frac{2}{44} - 1\frac{7}{44} =\) 30) \(18\frac{2}{14} - 13\frac{7}{14} =\)
Ответ:
Решение:
1) \(15\frac{17}{26} + 22\frac{3}{26} = (15+22) + (\frac{17}{26} + \frac{3}{26}) = 37 + \frac{20}{26} = 37 + \frac{10}{13} = 37\frac{10}{13}\)
2) \(209\frac{1}{29} + 105\frac{15}{29} = (209+105) + (\frac{1}{29} + \frac{15}{29}) = 314 + \frac{16}{29} = 314\frac{16}{29}\)
3) \(136\frac{6}{31} + 107\frac{7}{31} = (136+107) + (\frac{6}{31} + \frac{7}{31}) = 243 + \frac{13}{31} = 243\frac{13}{31}\)
4) \(64\frac{9}{10} + 12\frac{1}{10} = (64+12) + (\frac{9}{10} + \frac{1}{10}) = 76 + \frac{10}{10} = 76 + 1 = 77\)
5) \(141\frac{11}{40} - 41\frac{21}{40} = (141-41) + (\frac{11}{40} - \frac{21}{40}) = 100 - \frac{10}{40} = 100 - \frac{1}{4} = 99\frac{3}{4}\)
6) \(419\frac{8}{23} - 105\frac{23}{23} = (419-105) + (\frac{8}{23} - \frac{23}{23}) = 314 - \frac{15}{23} = 313\frac{8}{23}\)
7) \(25 - 24\frac{18}{23} = (25-24) - \frac{18}{23} = 1 - \frac{18}{23} = \frac{23}{23} - \frac{18}{23} = \frac{5}{23}\)
8) \(55\frac{113}{144} - 8 = (55-8) + \frac{113}{144} = 47\frac{113}{144}\)
9) \(8\frac{2}{74} - 1\frac{7}{74} = (8-1) + (\frac{2}{74} - \frac{7}{74}) = 7 - \frac{5}{74} = 6\frac{69}{74}\)
10) \(6\frac{3}{11} - 2 = (6-2) + \frac{3}{11} = 4\frac{3}{11}\)
11) \(51 - 1\frac{7}{8} = (51-1) - \frac{7}{8} = 50 - \frac{7}{8} = 49\frac{1}{8}\)
12) \(5\frac{5}{4} - 2\frac{1}{4} = (5-2) + (\frac{5}{4} - \frac{1}{4}) = 3 + \frac{4}{4} = 3 + 1 = 4\)
13) \(36\frac{9}{20} - 3 = (36-3) + \frac{9}{20} = 33\frac{9}{20}\)
14) \(81\frac{2}{14} - 63\frac{7}{14} = (81-63) + (\frac{2}{14} - \frac{7}{14}) = 18 - \frac{5}{14} = 17\frac{9}{14}\)
15) \(85\frac{1}{4} - 71\frac{3}{4} = (85-71) + (\frac{1}{4} - \frac{3}{4}) = 14 - \frac{2}{4} = 14 - \frac{1}{2} = 13\frac{1}{2}\)
16) \(26\frac{19}{25} + 35\frac{1}{25} = (26+35) + (\frac{19}{25} + \frac{1}{25}) = 61 + \frac{20}{25} = 61 + \frac{4}{5} = 61\frac{4}{5}\)
17) \(19\frac{6}{17} + 29 = (19+29) + \frac{6}{17} = 48\frac{6}{17}\)
18) \(203\frac{7}{41} - 40\frac{6}{41} = (203-40) + (\frac{7}{41} - \frac{6}{41}) = 163 + \frac{1}{41} = 163\frac{1}{41}\)
19) \(7\frac{7}{8} + 59\frac{7}{8} = (7+59) + (\frac{7}{8} + \frac{7}{8}) = 66 + \frac{14}{8} = 66 + 1\frac{6}{8} = 66 + 1\frac{3}{4} = 67\frac{3}{4}\)
20) \(35\frac{10}{13} - 25\frac{12}{13} = (35-25) + (\frac{10}{13} - \frac{12}{13}) = 10 - \frac{2}{13} = 9\frac{11}{13}\)
21) \(506\frac{9}{13} - 72 = (506-72) + \frac{9}{13} = 434\frac{9}{13}\)
22) \(29 - 18\frac{27}{30} = (29-18) - \frac{27}{30} = 11 - \frac{9}{10} = 10\frac{1}{10}\)
23) \(19\frac{13}{149} - 16 = (19-16) + \frac{13}{149} = 3\frac{13}{149}\)
24) \(4\frac{4}{15} - 1\frac{9}{15} = (4-1) + (\frac{4}{15} - \frac{9}{15}) = 3 - \frac{5}{15} = 3 - \frac{1}{3} = 2\frac{2}{3}\)
25) \(8\frac{6}{23} - 3 = (8-3) + \frac{6}{23} = 5\frac{6}{23}\)
26) \(6 - 1\frac{5}{7} = (6-1) - \frac{5}{7} = 5 - \frac{5}{7} = 4\frac{2}{7}\)
27) \(1\frac{13}{15} - 1\frac{2}{15} = (1-1) + (\frac{13}{15} - \frac{2}{15}) = 0 + \frac{11}{15} = \frac{11}{15}\)
28) \(28\frac{7}{20} - 7 = (28-7) + \frac{7}{20} = 21\frac{7}{20}\)
29) \(8\frac{2}{44} - 1\frac{7}{44} = (8-1) + (\frac{2}{44} - \frac{7}{44}) = 7 - \frac{5}{44} = 6\frac{39}{44}\)
30) \(18\frac{2}{14} - 13\frac{7}{14} = (18-13) + (\frac{2}{14} - \frac{7}{14}) = 5 - \frac{5}{14} = 4\frac{9}{14}\)
