Whakaoti i te [-1+3/2-(-3/4-(-1-1/6))]sqrt{2-frac{7/4}}{(-frac{5}{3})^-1+frac{1}{2}-(-2)^-2}

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

Aromātai

$$-\frac{5}{42}\approx -0.119047619$$

Ngā Upane Otinga

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

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

Tangohia te \frac{1}{6} i te -1, ka -\frac{7}{6}.

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

Ko te tauaro o -\frac{7}{6} ko \frac{7}{6}.

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

Tāpirihia te -\frac{3}{4} ki te \frac{7}{6}, ka \frac{5}{12}.

$$\frac{\left(\frac{1}{2}-\frac{5}{12}\right)\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Tangohia te \frac{5}{12} i te \frac{1}{2}, ka \frac{1}{12}.

$$\frac{\frac{1}{12}\sqrt{2-\frac{7}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Tangohia te \frac{7}{4} i te 2, ka \frac{1}{4}.

$$\frac{\frac{1}{12}\sqrt{\frac{1}{4}}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{1}{4} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{4}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{\frac{1}{12}\times \frac{1}{2}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Whakareatia te \frac{1}{12} ki te \frac{1}{2}, ka \frac{1}{24}.

$$\frac{\frac{1}{24}}{\left(-\frac{5}{3}\right)^{-1}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Tātaihia te -\frac{5}{3} mā te pū o -1, kia riro ko -\frac{3}{5}.

$$\frac{\frac{1}{24}}{-\frac{3}{5}+\frac{1}{2}-\left(-2\right)^{-2}}$$

Tāpirihia te -\frac{3}{5} ki te \frac{1}{2}, ka -\frac{1}{10}.

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\left(-2\right)^{-2}}$$

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

$$\frac{\frac{1}{24}}{-\frac{1}{10}-\frac{1}{4}}$$

Tangohia te \frac{1}{4} i te -\frac{1}{10}, ka -\frac{7}{20}.

$$\frac{\frac{1}{24}}{-\frac{7}{20}}$$

Whakawehe \frac{1}{24} ki te -\frac{7}{20} mā te whakarea \frac{1}{24} ki te tau huripoki o -\frac{7}{20}.

$$\frac{1}{24}\left(-\frac{20}{7}\right)$$

Whakareatia te \frac{1}{24} ki te -\frac{20}{7}, ka -\frac{5}{42}.

$$-\frac{5}{42}$$

Tauwehe

$$-\frac{5}{42} = -0.11904761904761904$$