778. Вычислите: 1) 7 14/15 + 2 1/15 ; 2) 9 24/27 + 12 13/27 ; 3) 1 - 12/19 ; 4) 8 - 3 6/15 ; 5) 12 - 11 6/11 ; 6) 16 3/13 - 6 8/13 ; 7) 13 4/9 - 2 8/9 ; 8) 10 7/16 - 4 12/16 ; 9) 29 49/53 - 8 49/53 ; 10) (20 16/25 + 13 9/25) - (23 4/14 + 7 13/14).

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Вопрос:

Accepted Answer

\( 7 \frac{14}{15} + 2 \frac{1}{15} = (7+2) + (\frac{14}{15} + \frac{1}{15}) = 9 + \frac{15}{15} = 9+1=10 \)
\( 9 \frac{24}{27} + 12 \frac{13}{27} = (9+12) + (\frac{24}{27} + \frac{13}{27}) = 21 + \frac{37}{27} = 21 + 1 \frac{10}{27} = 22 \frac{10}{27} \)
\( 1 - \frac{12}{19} = \frac{19}{19} - \frac{12}{19} = \frac{19-12}{19} = \frac{7}{19} \)
\( 8 - 3 \frac{6}{15} = 7 \frac{15}{15} - 3 \frac{6}{15} = (7-3) + (\frac{15}{15} - \frac{6}{15}) = 4 + \frac{9}{15} = 4 \frac{9}{15} = 4 \frac{3}{5} \)
\( 12 - 11 \frac{6}{11} = 11 \frac{11}{11} - 11 \frac{6}{11} = (11-11) + (\frac{11}{11} - \frac{6}{11}) = 0 + \frac{5}{11} = \frac{5}{11} \)
\( 16 \frac{3}{13} - 6 \frac{8}{13} = 15 \frac{16}{13} - 6 \frac{8}{13} = (15-6) + (\frac{16}{13} - \frac{8}{13}) = 9 + \frac{8}{13} = 9 \frac{8}{13} \)
\( 13 \frac{4}{9} - 2 \frac{8}{9} = 12 \frac{13}{9} - 2 \frac{8}{9} = (12-2) + (\frac{13}{9} - \frac{8}{9}) = 10 + \frac{5}{9} = 10 \frac{5}{9} \)
\( 10 \frac{7}{16} - 4 \frac{12}{16} = 9 \frac{23}{16} - 4 \frac{12}{16} = (9-4) + (\frac{23}{16} - \frac{12}{16}) = 5 + \frac{11}{16} = 5 \frac{11}{16} \)
\( 29 \frac{49}{53} - 8 \frac{49}{53} = (29-8) + (\frac{49}{53} - \frac{49}{53}) = 21 + 0 = 21 \)
\( (20 \frac{16}{25} + 13 \frac{9}{25}) - (23 \frac{4}{14} + 7 \frac{13}{14}) = (33 \frac{25}{25}) - (30 \frac{17}{14}) = 34 - (31 \frac{3}{14}) = 33 \frac{14}{14} - 31 \frac{3}{14} = 2 \frac{11}{14} \)

Ответ: 1) 10; 2) 22 10/27; 3) 7/19; 4) 4 3/5; 5) 5/11; 6) 9 8/13; 7) 10 5/9; 8) 5 11/16; 9) 21; 10) 2 11/14.