Question

Виконайте 6 завдання 3 варіант

Answer 1

Ответ:

$1) \frac{54}{3} = 54 \div 3 = 18$

В.18

$2) \frac{3}{2} = \frac{36}{24} \\ \frac{4}{3} = \frac{32}{24} \\ \frac{7}{6} = \frac{28}{24} \\ \frac{23}{24} < \frac{28}{24} < \frac{32}{24} < \frac{36}{24}$

Г.3/2

$3) \frac{2}{a} + \frac{2}{a} = \frac{2}{a} \times 2 \\ \frac{2}{a} \times 2 = 1 \\ \frac{2}{a} = 1 \div 2 \\ \frac{2}{a} = 0.5 \\ \frac{2}{a} = 2 \div a \\ 2 \div a = 0.5 \\ a = 2 \div 0.5 \\ a = 4 \\ \frac{2}{4} + \frac{2}{4} = 1 \\ 1 = 1$

$1 = 1$

Г.4

$4)a) \frac{21}{36} = \frac{7}{12} \\ b) \frac{45}{60} = \frac{3}{4}$

$5)a) \frac{x}{5} = \frac{9}{10} - \frac{3}{10} \\ \frac{x}{5} = \frac{6}{10} \\ x = \frac{5 \times 6}{10} \\ x = 3 \\ \frac{3}{5} = \frac{9}{10} - \frac{3}{10} \\ \frac{3}{5} = \frac{3}{5}$

$b) \frac{11}{x} = 1 \frac{7}{18} + 2 \frac{5}{18} \\ \frac{11}{x} = 3 \frac{12}{18} \\ \frac{11}{x} = \frac{66}{18} \\ x = \frac{11 \times 18}{66} \\ x = 3 \\ \frac{11}{3} = 1 \frac{7}{18} + 2 \frac{5}{18} \\ \frac{11}{3} = \frac{11}{3}$

$6)a) \frac{13}{16} < \frac{a}{16} < 1$

а={14; 15}

$b) \frac{1}{2} < \frac{a}{12} < \frac{3}{4} \\ \frac{6}{12} < \frac{a}{12} < \frac{9}{12}$

а={7; 8}