Question

(1 17/18•1 13/14-2 5/8:1 19/20):(2 25/78-1 1/26)

Answer 1

Ответ:

$(1 \frac{17}{18} \times 1 \frac{13}{14} - 2 \frac{5}{8} \div 1 \frac{19}{20} ) \div (2 \frac{25}{78} - 1 \frac{1}{26} ) = \\ =( \frac{18 + 17}{18} \frac{14 + 13}{14} - \frac{16 + 5}{8} \frac{20}{20 + 19} ) \div (2 \frac{25}{78} - 1 \frac{3}{78} ) = \\ = ( \frac{35}{18} \frac{27}{14} - \frac{21}{8} \frac{20}{39} ) \times \frac{78}{78 + 22} = \\ = ( \frac{7 \times 5 \times 9 \times 3}{2 \times 9 \times 7 \times 2} - \frac{7 \times 3 \times 4 \times 5}{4 \times 2 \times 3 \times 13} ) \frac{39 \times 2}{2 \times 50} = \\ = ( \frac{5 \times 3}{4} - \frac{7 \times 5}{2 \times 13} ) \frac{3 \times 13}{5 \times 10} = \\ = \frac{5 \times 3 \times 13 - 7 \times 5 \times 2}{4 \times 13} \frac{3 \times 13}{5 \times 10} = \\ = \frac{3 \times 13 - 7 \times 2}{4} \frac{3}{10} = \\ = \frac{39 - 14}{4} \frac{3}{10} = \\ = \frac{25 \times 3}{4 \times 10} = \\ = \frac{15}{8} = 1 \frac{7}{8}$

Answer 2

Ответ:

1 7/8

Пошаговое объяснение:

1) 1 7/18 * 1 13/14 = 35/18 * 27/14 = 5/2 * 3/2 = 15/4 = 3 3/4

2) 2 5/8 : 1 19/20 = 21/8 : 39/20 = 21/8 * 20/39 = 7/2 * 5/13 = 35/26 = 1 9/26

3) 3 3/4 - 1 9/26 = 3 39/52 - 1 18/52 = 2 21/52

4) 2 25/78 - 1 1/26 = 2 25/78 - 1 3/78 = 1 22/78 = 1 11/39

5) 2 21/52 : 1 11/39 = 125/52 : 50/39 = 125/52 * 39/50 = 5/4 * 3/2 = 15/8 = 1 7/8