Question

2/3-0.25=
0.125+5/12=
Помогите пожалуйста

Answer 1

Ответ:

1)

$\frac{2}{3} - 0.25 = \\ = \frac{2}{3} - \frac{25}{100} = \\ = \frac{2}{3} - \frac{25 \times 1}{25 \times 4} = \\ = \frac{2}{3} - \frac{1}{4} = \\ = \frac{4 \times 2}{4 \times 3} - \frac{3 \times 1}{3 \times 4} = \\ = \frac{8}{12} - \frac{3}{12} = \\ = \frac{8 - 3}{12} = \frac{5}{12}$

2)

$0.125 + \frac{5}{12} = \\ = \frac{125}{1000} + \frac{5}{12} = \\ = \frac{125 \times 12 + 5 \times 1000}{1000 \times 12} = \\ = \frac{1500 + 5000}{12000} = \\ = \frac{6500 \times 13}{500 \times 24} = \frac{13}{24}$