Whakaoti i te 11/7:[(-3/2)^-1-(4/3-2)^2*(3/7-frac{3}{4})]

$$\frac { 11 } { 7 } : [ ( - \frac { 3 } { 2 } ) ^ { - 1 } - ( \frac { 4 } { 3 } - 2 ) ^ { 2 } \cdot ( \frac { 3 } { 7 } - \frac { 3 } { 4 } ) ]$$

Aromātai

$$-3$$

Ngā Upane Otinga

Tātaihia te -\frac{3}{2} mā te pū o -1, kia riro ko -\frac{2}{3}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(\frac{4}{3}-2\right)^{2}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

Tangohia te 2 i te \frac{4}{3}, ka -\frac{2}{3}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(-\frac{2}{3}\right)^{2}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

Tātaihia te -\frac{2}{3} mā te pū o 2, kia riro ko \frac{4}{9}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\frac{4}{9}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

Tangohia te \frac{3}{4} i te \frac{3}{7}, ka -\frac{9}{28}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\frac{4}{9}\left(-\frac{9}{28}\right)}$$

Whakareatia te \frac{4}{9} ki te -\frac{9}{28}, ka -\frac{1}{7}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(-\frac{1}{7}\right)}$$

Ko te tauaro o -\frac{1}{7} ko \frac{1}{7}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}+\frac{1}{7}}$$

Tāpirihia te -\frac{2}{3} ki te \frac{1}{7}, ka -\frac{11}{21}.

$$\frac{\frac{11}{7}}{-\frac{11}{21}}$$

Whakawehe \frac{11}{7} ki te -\frac{11}{21} mā te whakarea \frac{11}{7} ki te tau huripoki o -\frac{11}{21}.

$$\frac{11}{7}\left(-\frac{21}{11}\right)$$

Whakareatia te \frac{11}{7} ki te -\frac{21}{11}, ka -3.

$$-3$$

Tauwehe

$$-3$$