Whakaoti i te -(1/3+frac{7/9)^{2}}{(1-1/2)^2*(-2)^3-3/2}+[-(-frac{1}{6})^2+frac{frac{1}{4}-frac{1}{5}}{(1-frac{2}{5})^2}]-frac{frac{1}{3}-frac{2}{9}}{frac{1}{8}-frac{15}{8}}=

$$- \frac { ( \frac { 1 } { 3 } + \frac { 7 } { 9 } ) ^ { 2 } } { ( 1 - \frac { 1 } { 2 } ) ^ { 2 } \cdot ( - 2 ) ^ { 3 } - \frac { 3 } { 2 } } + [ - ( - \frac { 1 } { 6 } ) ^ { 2 } + \frac { \frac { 1 } { 4 } - \frac { 1 } { 5 } } { ( 1 - \frac { 2 } { 5 } ) ^ { 2 } } ] - \frac { \frac { 1 } { 3 } - \frac { 2 } { 9 } } { \frac { 1 } { 8 } - \frac { 15 } { 8 } } =$$

Aromātai

$$\frac{299}{567}\approx 0.527336861$$

Ngā Upane Otinga

Tāpirihia te \frac{1}{3} ki te \frac{7}{9}, ka \frac{10}{9}.

$$-\frac{\left(\frac{10}{9}\right)^{2}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tātaihia te \frac{10}{9} mā te pū o 2, kia riro ko \frac{100}{81}.

$$-\frac{\frac{100}{81}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tangohia te \frac{1}{2} i te 1, ka \frac{1}{2}.

$$-\frac{\frac{100}{81}}{\left(\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$-\frac{\frac{100}{81}}{\frac{1}{4}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tātaihia te -2 mā te pū o 3, kia riro ko -8.

$$-\frac{\frac{100}{81}}{\frac{1}{4}\left(-8\right)-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Whakareatia te \frac{1}{4} ki te -8, ka -2.

$$-\frac{\frac{100}{81}}{-2-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tangohia te \frac{3}{2} i te -2, ka -\frac{7}{2}.

$$-\frac{\frac{100}{81}}{-\frac{7}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Whakawehe \frac{100}{81} ki te -\frac{7}{2} mā te whakarea \frac{100}{81} ki te tau huripoki o -\frac{7}{2}.

$$-\frac{100}{81}\left(-\frac{2}{7}\right)-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Whakareatia te \frac{100}{81} ki te -\frac{2}{7}, ka -\frac{200}{567}.

$$-\left(-\frac{200}{567}\right)-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Ko te tauaro o -\frac{200}{567} ko \frac{200}{567}.

$$\frac{200}{567}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tātaihia te -\frac{1}{6} mā te pū o 2, kia riro ko \frac{1}{36}.

$$\frac{200}{567}-\frac{1}{36}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tangohia te \frac{1}{36} i te \frac{200}{567}, ka \frac{737}{2268}.

$$\frac{737}{2268}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tangohia te \frac{1}{5} i te \frac{1}{4}, ka \frac{1}{20}.

$$\frac{737}{2268}+\frac{\frac{1}{20}}{\left(1-\frac{2}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tangohia te \frac{2}{5} i te 1, ka \frac{3}{5}.

$$\frac{737}{2268}+\frac{\frac{1}{20}}{\left(\frac{3}{5}\right)^{2}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tātaihia te \frac{3}{5} mā te pū o 2, kia riro ko \frac{9}{25}.

$$\frac{737}{2268}+\frac{\frac{1}{20}}{\frac{9}{25}}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Whakawehe \frac{1}{20} ki te \frac{9}{25} mā te whakarea \frac{1}{20} ki te tau huripoki o \frac{9}{25}.

$$\frac{737}{2268}+\frac{1}{20}\times \frac{25}{9}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Whakareatia te \frac{1}{20} ki te \frac{25}{9}, ka \frac{5}{36}.

$$\frac{737}{2268}+\frac{5}{36}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tāpirihia te \frac{737}{2268} ki te \frac{5}{36}, ka \frac{263}{567}.

$$\frac{263}{567}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tangohia te \frac{2}{9} i te \frac{1}{3}, ka \frac{1}{9}.

$$\frac{263}{567}-\frac{\frac{1}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Tangohia te \frac{15}{8} i te \frac{1}{8}, ka -\frac{7}{4}.

$$\frac{263}{567}-\frac{\frac{1}{9}}{-\frac{7}{4}}$$

Whakawehe \frac{1}{9} ki te -\frac{7}{4} mā te whakarea \frac{1}{9} ki te tau huripoki o -\frac{7}{4}.

$$\frac{263}{567}-\frac{1}{9}\left(-\frac{4}{7}\right)$$

Whakareatia te \frac{1}{9} ki te -\frac{4}{7}, ka -\frac{4}{63}.

$$\frac{263}{567}-\left(-\frac{4}{63}\right)$$

Ko te tauaro o -\frac{4}{63} ko \frac{4}{63}.

$$\frac{263}{567}+\frac{4}{63}$$

Tāpirihia te \frac{263}{567} ki te \frac{4}{63}, ka \frac{299}{567}.

$$\frac{299}{567}$$

Tauwehe

$$\frac{13 \cdot 23}{3 ^ {4} \cdot 7} = 0.527336860670194$$