Rešite {3/2+1-3/2*[(1/6*3/5+frac{7}{5}*frac{1}{7})*frac{5}{2}]}*frac{4}{33}+(1-frac{1}{2})^2:3+(frac{2}{3})^2

$$\{ \frac { 3 } { 2 } + 1 - \frac { 3 } { 2 } \times [ ( \frac { 1 } { 6 } \times \frac { 3 } { 5 } + \frac { 7 } { 5 } \times \frac { 1 } { 7 } ) \times \frac { 5 } { 2 } ] \} \times \frac { 4 } { 33 } + ( 1 - \frac { 1 } { 2 } ) ^ { 2 } : 3 + ( \frac { 2 } { 3 } ) ^ { 2 }$$

Ovrednoti

$$\frac{25}{36}\approx 0,694444444$$

Koraki rešitve

Seštejte \frac{3}{2} in 1, da dobite \frac{5}{2}.

$$\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{6}\times \frac{3}{5}+\frac{7}{5}\times \frac{1}{7}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Pomnožite \frac{1}{6} in \frac{3}{5}, da dobite \frac{1}{10}.

$$\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{10}+\frac{7}{5}\times \frac{1}{7}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Pomnožite \frac{7}{5} in \frac{1}{7}, da dobite \frac{1}{5}.

$$\left(\frac{5}{2}-\frac{3}{2}\left(\frac{1}{10}+\frac{1}{5}\right)\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Seštejte \frac{1}{10} in \frac{1}{5}, da dobite \frac{3}{10}.

$$\left(\frac{5}{2}-\frac{3}{2}\times \frac{3}{10}\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Pomnožite \frac{3}{2} in \frac{3}{10}, da dobite \frac{9}{20}.

$$\left(\frac{5}{2}-\frac{9}{20}\times \frac{5}{2}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Pomnožite \frac{9}{20} in \frac{5}{2}, da dobite \frac{9}{8}.

$$\left(\frac{5}{2}-\frac{9}{8}\right)\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Odštejte \frac{9}{8} od \frac{5}{2}, da dobite \frac{11}{8}.

$$\frac{11}{8}\times \frac{4}{33}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Pomnožite \frac{11}{8} in \frac{4}{33}, da dobite \frac{1}{6}.

$$\frac{1}{6}+\frac{\left(1-\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Odštejte \frac{1}{2} od 1, da dobite \frac{1}{2}.

$$\frac{1}{6}+\frac{\left(\frac{1}{2}\right)^{2}}{3}+\left(\frac{2}{3}\right)^{2}$$

Izračunajte potenco \frac{1}{2} števila 2, da dobite \frac{1}{4}.

$$\frac{1}{6}+\frac{\frac{1}{4}}{3}+\left(\frac{2}{3}\right)^{2}$$

Izrazite \frac{\frac{1}{4}}{3} kot enojni ulomek.

$$\frac{1}{6}+\frac{1}{4\times 3}+\left(\frac{2}{3}\right)^{2}$$

Pomnožite 4 in 3, da dobite 12.

$$\frac{1}{6}+\frac{1}{12}+\left(\frac{2}{3}\right)^{2}$$

Seštejte \frac{1}{6} in \frac{1}{12}, da dobite \frac{1}{4}.

$$\frac{1}{4}+\left(\frac{2}{3}\right)^{2}$$

Izračunajte potenco \frac{2}{3} števila 2, da dobite \frac{4}{9}.

$$\frac{1}{4}+\frac{4}{9}$$

Seštejte \frac{1}{4} in \frac{4}{9}, da dobite \frac{25}{36}.

$$\frac{25}{36}$$

Faktoriziraj

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 0,6944444444444444$$