Question

4 1/2 : 2 1/4
2 4/5 : 1 2/5
7/9: 2 1/3
8 1/2 : 19/20​

Answer 1

Пошаговое объяснение:

$4 \frac{1}{2} \div 2 \frac{1}{4} = \frac{(4 \times 2 + 1) \times 4}{2(2 \times 4 + 1)} = 2$

$2 \frac{4}{5} \div 1 \frac{2}{5} =\frac{\left(2\times 5+4\right)\times 5}{5\left(1\times 5+2\right)} =\frac{4+2\times 5}{2+5} =\frac{4+10}{2+5} =\frac{14}{2+5} =\frac{14}{7} =2$

$\frac{7}{9} \div 2 \frac{1}{3} = \frac{7\times 3}{9\left(2\times 3+1\right)} =\frac{7}{3\left(1+2\times 3\right)} =\frac{7}{3\left(1+6\right)} =\frac{7}{3\times 7} =\frac{7}{21} =\frac{1}{3}$

$8 \frac{1}{2} \div \frac{19}{20} =\frac{\left(8\times 2+1\right)\times 20}{2\times 19} =\frac{10\left(1+2\times 8\right)}{19} =\frac{10\left(1+16\right)}{19} =\frac{10\times 17}{19} =\frac{170}{19} =8\frac{18}{19}$

Answer 2

Ответ:

$1)4 \frac{1}{2} \div 2 \frac{1}{4} = \frac{9}{2} \times \frac{4}{9} = 2 \\ 2)2 \frac{4}{5} \div 1 \frac{2}{5} = \frac{14}{5} \times \frac{5}{7} = 2 \\ 3) \frac{7}{9} \div 2 \frac{1}{3} = \frac{7}{9} \times \frac{3}{7} = \frac{1}{3} \\ 4)8 \frac{1}{2} \div \frac{19}{20} = \frac{17}{2} \times \frac{20}{19} = 17 \times \frac{10}{19} = \frac{17 \times 10}{1 \times 19} = \frac{170}{19} = 8 \frac{18}{19}$