Question

648. Вычислите: (3-2 5/9 )* 1/ 12 (1.35- 4 15 ) 3 13 +2 5 12 * ( 7 15 + 5 12 - 2 3 )0.9 0.1*(2 1 15 + 1 3 )

Answer 1

5

$\frac{( 3 - 2 \frac{5}{9}) \div \frac{1}{12} }{(1.35 - \frac{4}{15}) \times \frac{3}{13} + 2 \frac{5}{12} } + \frac{( \frac{7}{18} + \frac{5}{12} - \frac{2}{3}) \times 0.9 }{0.1 \div (2 \frac{1}{15} + \frac{1}{3} )} =5 \\ 1)3 - 2 \frac{5}{9} = 2 \frac{9}{9} - 2 \frac{5}{9} = \frac{4}{9} \\ 2) \frac{4}{9} \div \frac{1}{12} = \frac{4}{9} \times 12 = \frac{4 \times 4}{3} = \frac{16}{3} \\ 3)1.35 - \frac{4}{15} = \frac{135}{100} - \frac{4}{15} = \frac{405 - 80}{300} = \frac{325}{300} = \frac{13}{12} \\ 4) \frac{13}{12} \times \frac{3}{13} = \frac{3}{12} = \frac{1}{4} \\ 5) \frac{1}{4} + 2 \frac{5}{12} = \frac{1}{4} + \frac{12 \times 2 + 5}{12} = \frac{1}{4} + \frac{29}{12} = \frac{3 + 29}{12} = \frac{32}{12} = \frac{8}{3} \\ 6) \frac{16}{3} \div \frac{8}{3} = \frac{16}{3} \times \frac{3}{8} = 2 \\ 7) \frac{7}{18} + \frac{5}{12} = \frac{14 + 15}{36} = \frac{29}{36} \\ 8) \frac{29}{36} - \frac{2}{3} = \frac{29 - 24}{36} = \frac{5}{36} \\ 9) \frac{5}{36} \times 0.9 = \frac{5}{36} \times \frac{9}{10} = \frac{1}{8} \\ 10)2 \frac{1}{15} + \frac{1}{3} = \frac{15 \times 2 + 1}{15} + \frac{1}{3} = \frac{31}{15} + \frac{1}{3} = \frac{31 + 5}{15} = \frac{36}{15} \\ 11)0.1 \div \frac{36}{15} = \frac{1}{10} \div \frac{36}{15} = \frac{1}{10} \times \frac{15}{36} = \frac{3}{72} = \frac{1}{24} \\ 12) \frac{1}{8} \div \frac{1}{24} = \frac{1}{8} \times 24 = 3 \\ 13)2 + 3 = 5$