Предмет: Математика, автор: antonpokeda

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Ответы

Автор ответа: elenamuraweva

Пошаговое объяснение:

$n - 3 \frac{11}{24} = 1 \frac{2}{9} \\ n = 1 \frac{2}{9} + 3 \frac{11}{24} \\ n = \frac{11}{9} + \frac{83}{24} \\ n = \frac{88 + 249}{72} \\ n = \frac{337}{72} \\ n = 4 \frac{49}{72}$

$26 \frac{5}{8} + a = 30 \\ a = 30 - 26 \frac{5}{8} \\ a = 29 \frac{8}{8} - 26 \frac{5}{8} \\ a = 3 \frac{3}{8}$

$11 \frac{1}{4} - x = 1 \frac{1}{5} + 2 \frac{1}{2} \\ - x = 1 \frac{1}{5} + 2 \frac{1}{2} - 11 \frac{1}{4} \\ x = 11 \frac{1}{4} - 1 \frac{1}{5} - 2 \frac{1}{2} \\ x = \frac{45}{4} - \frac{6}{5} - \frac{5}{2} \\ x = \frac{225 - 24 - 50}{20} \\ x = \frac{151}{20} \\ x = 7 \frac{11}{20} \\ x = 7.55$

$6 - (2 \frac{1}{4} + 1 \frac{5}{12} ) = 6 - ( \frac{9}{4} + \frac{17}{12} ) = 6 - \frac{27 + 17}{12} = 6 - \frac{44}{12} = 6 - \frac{11}{3} = 5 \frac{3}{3} - 3 \frac{2}{3} = 2 \frac{1}{3}$

$6 \frac{5}{16} - (4 \frac{1}{2} - 3 \frac{5}{12} ) = \frac{101}{16} - ( \frac{9}{2} - \frac{41}{12} ) = \frac{101}{16} - \frac{54 - 41}{12} = \frac{101}{16} - \frac{13}{12} = \frac{303 - 52}{48} = \frac{251}{48} = 5 \frac{11}{48}$

$8 \frac{5}{12} - 1 \frac{7}{15} - 3 \frac{11}{30} = \frac{101}{12} - \frac{22}{15} - \frac{101}{30} = \frac{505 - 88 - 202}{60} = \frac{215}{30} = \frac{43}{15} = 2 \frac{13}{15}$

$(15 + 8 \frac{7}{12} ) - (7 \frac{1}{2} - 6 \frac{1}{5} ) = 23 \frac{7}{12} - ( \frac{15}{2} - \frac{31}{5} ) = \frac{283}{12} - \frac{75 - 62}{10} = \frac{283}{12} - \frac{13}{10} = \frac{1415 - 78}{60} = \frac{1337}{60} = 22 \frac{17}{60}$