Предмет: Математика, автор: solovevamargarita22

Задание 3) 6 класс, даю 15 баллов

Приложения:

Ответы

Автор ответа: KoCmiChesKiYPlow

Задача 3

$1) \frac{7}{8} +\frac{9}{8} =\frac{7+9}{8} = \frac{16}{8} = 2$

$2) \frac{4}{5} *\frac{6}{8} = \frac{4 * 6}{5 * 8} = \frac{1 * 6}{5 * 2}= \frac{6}{10} = 0,6$

$3) \frac{7}{9} : \frac{5}{8} = \frac{7}{9} * \frac{8}{5} = \frac{7*8}{9*5} = \frac{56}{45} = 1\frac{11}{45}$

$4) 8\frac{8}{9}+2\frac{11}{18} -3\frac{1}{4}= 8\frac{1}{4} \\ \\ 1.1) 8\frac{8}{9}+2\frac{11}{18} = 8\frac{16}{18}+2\frac{11}{18}= 10\frac{27}{18}= 11\frac{9}{18} = 11\frac{1}{2}= 11,5\\\\2.1)11,5- 3\frac{1}{4}=11\frac{1}{2} - 3\frac{1}{4}= 11\frac{2}{4}- 3\frac{1}{4}= 8\frac{1}{4}$

$5) \frac{(\frac{1}{6}+ \frac{1}{10} +\frac{1}{15}) :(\frac{1}{6} +\frac{1}{30} )} {(\frac{1}{6}+ \frac{1}{4} -\frac{1}{5}) :(\frac{1}{4} -\frac{1}{6} )} = \frac{25}{39}\\\\1.1) \frac{1}{6}+ \frac{1}{10} +\frac{1}{15} = \frac{5}{30}+ \frac{3}{30} +\frac{2}{30}= \frac{5+3+2}{30} = \frac{10}{30} = \frac{1}{3} \\\\2.1) \frac{1}{6} +\frac{1}{30} = \frac{5}{30}+ \frac{1}{30} = \frac{5+1}{30} = \frac{6}{30}= \frac{1}{5} \\$

$3.1) \frac{1}{6}+ \frac{1}{4} -\frac{1}{5} = \frac{10}{60}+ \frac{15}{60}-\frac{12}{60}= \frac{10+15-12}{60}= \frac{13}{60} \\\\4.1) \frac{1}{4} - \frac{1}{6} = \frac{3}{12} - \frac{2}{12} = \frac{1}{12} \\\\\\$

$5.1) \frac{1}{3} : \frac{1}{5} =\frac{1}{3} : \frac{5}{1} = \frac{1+5}{3+1}= \frac{5}{3} = 1\frac{2}{3} \\\\6.1) \frac{13}{60} : \frac{1}{12} = \frac{13}{60} : \frac{12}{1} = \frac{13*12}{60*1} = \frac{13*1}{5*1} = \frac{13}{5} = 2\frac{3}{5} \\$

$7.1) \frac{1\frac{2}{3} }{2\frac{3}{5} } = \frac{\frac{5}{3} }{\frac{13}{5} } = \frac{5}{3}: \frac{13}{5} = \frac{5}{3}*\frac{5}{13} = \frac{5}{3} = \frac{25}{39}$