Whakaoti i te (-21/3+13/4)-{1/6-(-1/2)^2}

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

Aromātai

$$-\frac{1}{2}=-0.5$$

Ngā Upane Otinga

Whakareatia te 2 ki te 3, ka 6.

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

Tāpirihia te 6 ki te 1, ka 7.

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

Whakareatia te 1 ki te 4, ka 4.

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

Tāpirihia te 4 ki te 3, ka 7.

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

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri -\frac{7}{3} me \frac{7}{4} ki te hautau me te tautūnga 12.

$$-\frac{28}{12}+\frac{21}{12}-\left(\frac{1}{6}-\left(-\frac{1}{2}\right)^{2}\right)$$

Tā te mea he rite te tauraro o -\frac{28}{12} me \frac{21}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-28+21}{12}-\left(\frac{1}{6}-\left(-\frac{1}{2}\right)^{2}\right)$$

Tāpirihia te -28 ki te 21, ka -7.

$$-\frac{7}{12}-\left(\frac{1}{6}-\left(-\frac{1}{2}\right)^{2}\right)$$

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

$$-\frac{7}{12}-\left(\frac{1}{6}-\frac{1}{4}\right)$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{1}{6} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$-\frac{7}{12}-\left(\frac{2}{12}-\frac{3}{12}\right)$$

Tā te mea he rite te tauraro o \frac{2}{12} me \frac{3}{12}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{7}{12}-\frac{2-3}{12}$$

Tangohia te 3 i te 2, ka -1.

$$-\frac{7}{12}-\left(-\frac{1}{12}\right)$$

Ko te tauaro o -\frac{1}{12} ko \frac{1}{12}.

$$-\frac{7}{12}+\frac{1}{12}$$

Tā te mea he rite te tauraro o -\frac{7}{12} me \frac{1}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-7+1}{12}$$

Tāpirihia te -7 ki te 1, ka -6.

$$\frac{-6}{12}$$

Whakahekea te hautanga \frac{-6}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

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

Tauwehe

$$-\frac{1}{2} = -0.5$$