Whakaoti i te 3*(-1/2)^2+1/4/3*(-frac{1{3})^2-3/2}

$$\frac { 3 \cdot ( - \frac { 1 } { 2 } ) ^ { 2 } + \frac { 1 } { 4 } } { 3 \cdot ( - \frac { 1 } { 3 } ) ^ { 2 } - \frac { 3 } { 2 } }$$

Aromātai

$$-\frac{6}{7}\approx -0.857142857$$

Ngā Upane Otinga

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

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

Whakareatia te 3 ki te \frac{1}{4}, ka \frac{3}{4}.

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

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{1}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 3 ki te 1, ka 4.

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

Whakawehea te 4 ki te 4, kia riro ko 1.

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

Tātaihia te -\frac{1}{3} mā te pū o 2, kia riro ko \frac{1}{9}.

$$\frac{1}{3\times \frac{1}{9}-\frac{3}{2}}$$

Whakareatia te 3 ki te \frac{1}{9}, ka \frac{3}{9}.

$$\frac{1}{\frac{3}{9}-\frac{3}{2}}$$

Whakahekea te hautanga \frac{3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{\frac{1}{3}-\frac{3}{2}}$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{3}{2} ki te hautau me te tautūnga 6.

$$\frac{1}{\frac{2}{6}-\frac{9}{6}}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{9}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{\frac{2-9}{6}}$$

Tangohia te 9 i te 2, ka -7.

$$\frac{1}{-\frac{7}{6}}$$

Whakawehe 1 ki te -\frac{7}{6} mā te whakarea 1 ki te tau huripoki o -\frac{7}{6}.

$$1\left(-\frac{6}{7}\right)$$

Whakareatia te 1 ki te -\frac{6}{7}, ka -\frac{6}{7}.

$$-\frac{6}{7}$$

Tauwehe

$$-\frac{6}{7} = -0.8571428571428571$$