Question

Решите дроби подробно расписывая:
1) 9 24/27+12 13/27
2)1- 12/19
3)8- 3 6/15
4)12 - 11 6/11​

Answer 1

$1)9 \frac{24}{27} + 12 \frac{13}{27} = (9 + 12) + ( \frac{24}{27} + \frac{13}{27} ) = 21 + \frac{37}{27} = 21 + 1 \frac{10}{27} = 22 \frac{10}{27} \\ \\ 2)1 - \frac{12}{19} = \frac{19}{19} - \frac{12}{19} = \frac{7}{19} \\ \\ 3)8 - 3 \frac{6}{15} = 7 \frac{15}{15} - 3 \frac{6}{15} = (7 - 3) + ( \frac{15}{15} - \frac{6}{15} ) = 4 + \frac{9}{15}^{(3} = 4 + \frac{9 \div 3}{15 \div 3} = 4 + \frac{3}{5} = 4 \frac{3}{5} \\ \\ 4)12 - 11 \frac{6}{11} = 11 \frac{11}{11} - 11 \frac{6}{11} = (11 - 11) + ( \frac{11}{11} - \frac{6}{11} ) = \frac{5}{11}$