Ответ:

[tex]\frac{0,5+\frac{1}{4}+\frac{1}{6}+0,125}{\frac{1}{3}+0,4+\frac{14}{15}}+\frac{(3,75-0,625)\cdot\frac{48}{125}}{12,8\cdot0,25}=1[/tex]

Объяснение:

[tex]\frac{0,5+\frac{1}{4}+\frac{1}{6}+0,125}{\frac{1}{3}+0,4+\frac{14}{15}}+\frac{(3,75-0,625)\cdot\frac{48}{125}}{12,8\cdot0,25}[/tex]

1.

[tex]0,5+\frac{1}{4}+\frac{1}{6}+0,125=\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}=\frac{12}{24}+\frac{6}{24}+\frac{4}{24}+\frac{3}{24}=\frac{25}{24}[/tex]

2.

[tex]\frac{1}{3}+0,4+\frac{14}{15}=\frac{1}{3}+\frac{4}{10}+\frac{14}{15}=\frac{1}{3}+\frac{2}{5}+\frac{14}{15}=\frac{5}{15}+\frac{10}{15}+\frac{14}{15}=\frac{25}{15}=\frac{5}{3}[/tex]

3.

[tex]\frac{\frac{25}{24}}{\frac{5}{3}}=\frac{25}{24}\cdot\frac{3}{5}=\frac{5}{8}[/tex]

4.

[tex](3,75-0,625)\cdot\frac{48}{125}=3,125\cdot\frac{48}{125}=3\frac{125}{1000}\cdot\frac{48}{125}=3\frac{1}{8}\cdot\frac{48}{125}=\frac{25}{8}\cdot\frac{48}{125}=\frac{6}{5}[/tex]

5.

[tex]12,8\cdot0,25=3,2[/tex]

6.

[tex]\frac{\frac{6}{5}}{3,2}=\frac{6}{5}:3,2=\frac{6}{5}:\frac{32}{10}=\frac{6}{5}\cdot\frac{5}{16}=\frac{3}{8}[/tex]

7.

[tex]\frac{5}{8}+\frac{3}{8}=\frac{8}{8}=1[/tex]