Question

Va rog frumos ma poate ajuta cineva?Urgent.Multumesc

Answer 1

Punctul a)

$\displaystyle{ 1 + \frac{1}{1 +\frac{2}{3}}+\frac{12}{25} : 2\frac{4}{5} = }$

$\displaystyle{ = 1 + \frac{1}{\frac{3}{3} +\frac{2}{3}}+\frac{12}{25} : \frac{14}{5} }$

$\displaystyle{ = 1 + \frac{1}{\frac{5}{3}}+\frac{12}{25} \cdot \frac{5}{14} }$

$\displaystyle{ = 1 + \frac{1}{1} : \frac{5}{3} + \frac{ 60 }{350} }$

$\displaystyle{ =1 + \frac{1}{1} \cdot \frac{3}{5} + \frac{6}{35} }$

$\displaystyle{ = 1 + \frac{3}{5}+ \frac{6}{35} }$

$\displaystyle{ = 1 + \frac{21}{35} + \frac{6}{35} }$

$\displaystyle{ = 1 + \frac{27}{35} }$

$\displaystyle{ =\frac{35}{35}+\frac{27}{35}}$

$\boxed{=\frac{62}{35}}$

Punctul b)

$\displaystyle{ \frac{ 2\frac{1}{3}+\frac{5}{2} : (3 + \frac{7}{20} \cdot \frac{10}{3})}{16: 1\frac{1}{5}+1\frac{1}{4}} = }$

$\displaystyle{ =\frac{\frac{7}{3}+\frac{5}{2} : (3+\frac{70}{60})}{16:\frac{6}{5}+\frac{5}{4}} }$

$\displaystyle{ =\frac{\frac{7}{3} + \frac{5}{2}:(\frac{3}{1}+\frac{7}{6})}{\frac{16}{1} :\frac{6}{5}+\frac{5}{4}} }$

$\displaystyle{=\frac{\frac{7}{3} +\frac{5}{2}:(\frac{18}{6}+\frac{7}{6})}{\frac{16}{1} \cdot \frac{5}{6} + \frac{5}{4}} }$

$\displaystyle{ =\frac{\frac{7}{3}+\frac{5}{2} : \frac{25}{6}}{\frac{80}{6}+\frac{5}{4}} }$

$\displaystyle{ =\frac{\frac{7}{3} + \frac{5}{2} \cdot \frac{6}{25}}{\frac{40}{3}+\frac{5}{4}} }$

$\displaystyle{ =\frac{\frac{7}{3}+\frac{30}{50}}{\frac{160}{12}+\frac{15}{12}} }$

$\displaystyle{ =\frac{\frac{7}{3}+\frac{3}{5}}{\frac{175}{12}} }$

$\displaystyle{ =\frac{\frac{35}{15}+\frac{9}{15}}{\frac{175}{12}} }$

$\displaystyle{ =\frac{44}{15} : \frac{175}{12} }$

$\displaystyle{ =\frac{44}{15} \cdot \frac{12}{175} }$

$\displaystyle{ =\frac{528}{2625} }$

$\boxed{=\frac{176}{875}}$

- Lumberjack25