[tex]\frac { 5 } { 6 } \times ( x - 3 \frac { 1 } { 3 } \times 1 \frac { 1 } { 5 } ) = 2 \frac { 3 } { 4 } \times 3 \frac { 3 } { 4 } : 1 \frac { 2 } { 3 }[/tex]
[tex]25\left(x-\frac{3\times 3+1}{3}\times \left(\frac{1\times 5+1}{5}\right)\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25\left(x-\frac{9+1}{3}\times \left(\frac{1\times 5+1}{5}\right)\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25\left(x-\frac{10}{3}\times \left(\frac{1\times 5+1}{5}\right)\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25\left(x-\frac{10}{3}\times \left(\frac{5+1}{5}\right)\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25\left(x-\frac{10}{3}\times \left(\frac{6}{5}\right)\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25\left(x-\frac{10\times 6}{3\times 5}\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25\left(x-\frac{60}{15}\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25\left(x-4\right)=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25x-100=18\times \left(\frac{2\times 4+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25x-100=18\times \left(\frac{8+3}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25x-100=18\times \left(\frac{11}{4}\right)\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25x-100=\frac{18\times 11}{4}\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25x-100=\frac{198}{4}\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25x-100=\frac{99}{2}\times \left(\frac{3\times 4+3}{4}\right) [/tex]
[tex]25x-100=\frac{99}{2}\times \left(\frac{12+3}{4}\right) [/tex]
[tex]25x-100=\frac{99}{2}\times \left(\frac{15}{4}\right) [/tex]
[tex]25x-100=\frac{99\times 15}{2\times 4} [/tex]
[tex]25x-100=\frac{1485}{8} [/tex]
[tex]25x=\frac{1485}{8}+100 [/tex]
[tex]25x=\frac{1485}{8}+\frac{800}{8} [/tex]
[tex]25x=\frac{1485+800}{8} [/tex]
[tex]25x=\frac{2285}{8} [/tex]
[tex]x=\frac{\frac{2285}{8}}{25} [/tex]
[tex]x=\frac{2285}{8\times 25} [/tex]
[tex]x=\frac{2285}{200} [/tex]
[tex]raspuns => x = \frac{457}{40} = 11\frac{17}{40} = 11.425[/tex]
Sper ca ti-am fost de folos. Succes!!!!
