Question

( 1 1/4:2 1/2+3 3/7 •1 5/9 ) •5/19-8 1/5 Срочноооооо дам 75 баллов
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Answer 1

Ответ:

$(1 \frac{1}{4} \div 2 \frac{1}{2} + 3 \frac{3}{7} \times 1 \frac{5}{9} ) \times \frac{5}{19} - 8 \frac{1}{5} = - 6 \frac{379}{570} \\ 1)1 \frac{1}{4} \div 2 \frac{1}{2} = \frac{4 \times 1 + 1}{4} \div \frac{2 \times 2 + 1}{2} = \\ \frac{5}{4} \div \frac{5}{2} = \frac{5}{4} \times \frac{2}{5} = \frac{1}{2} \\ 2)3 \frac{3}{7} \times 1 \frac{5}{9} = \frac{7 \times 3 + 3}{7} \times \frac{9 \times 1 + 5}{9} = \\ \frac{24}{7} \times \frac{14}{9} = \frac{16}{3} \\ 3) \frac{1}{2} + \frac{16}{3} = \frac{1 \times 3 + 16 \times 2}{6} = \frac{3 + 32}{6} = \frac{35}{6} \\ 4) \frac{35}{6} \times \frac{5}{19} = \frac{175}{114} \\ 5) \frac{175}{114} - 8 \frac{1}{5} = \frac{175}{114} - \frac{5 \times 8 + 1}{5} = \\ \frac{175}{114} - \frac{41}{5} = \frac{175 \times 5 - 41 \times 114}{570} = \\ \frac{875 - 4674}{570} = - \frac{3799}{570} = - 6 \frac{379}{570}$

Ответ: - 6 379/570