Whakaoti i te -5/6:(-3+7/2)-1/2*[-3*(1/2-frac{1}{1})+1]

$$- \frac { 5 } { 6 } : ( - 3 + \frac { 7 } { 2 } ) - \frac { 1 } { 2 } \cdot [ - 3 \cdot ( \frac { 1 } { 2 } - \frac { 1 } { 1 } ) + 1 ]$$

Aromātai

$$-\frac{35}{12}\approx -2.916666667$$

Ngā Upane Otinga

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

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

Me tahuri te -3 ki te hautau -\frac{6}{2}.

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

Tā te mea he rite te tauraro o -\frac{6}{2} me \frac{7}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te -6 ki te 7, ka 1.

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

Whakawehe -\frac{5}{6} ki te \frac{1}{2} mā te whakarea -\frac{5}{6} ki te tau huripoki o \frac{1}{2}.

$$-\frac{5}{6}\times 2-\frac{1}{2}\left(-3\left(\frac{1}{2}-1\right)+1\right)$$

Tuhia te -\frac{5}{6}\times 2 hei hautanga kotahi.

$$\frac{-5\times 2}{6}-\frac{1}{2}\left(-3\left(\frac{1}{2}-1\right)+1\right)$$

Whakareatia te -5 ki te 2, ka -10.

$$\frac{-10}{6}-\frac{1}{2}\left(-3\left(\frac{1}{2}-1\right)+1\right)$$

Whakahekea te hautanga \frac{-10}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Me tahuri te 1 ki te hautau \frac{2}{2}.

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

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{2}{2}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 2 i te 1, ka -1.

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

Tuhia te -3\left(-\frac{1}{2}\right) hei hautanga kotahi.

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

Whakareatia te -3 ki te -1, ka 3.

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

Me tahuri te 1 ki te hautau \frac{2}{2}.

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

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

$$-\frac{5}{3}-\frac{1}{2}\times \frac{3+2}{2}$$

Tāpirihia te 3 ki te 2, ka 5.

$$-\frac{5}{3}-\frac{1}{2}\times \frac{5}{2}$$

Me whakarea te \frac{1}{2} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{3}-\frac{1\times 5}{2\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 5}{2\times 2}.

$$-\frac{5}{3}-\frac{5}{4}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri -\frac{5}{3} me \frac{5}{4} ki te hautau me te tautūnga 12.

$$-\frac{20}{12}-\frac{15}{12}$$

Tā te mea he rite te tauraro o -\frac{20}{12} me \frac{15}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-20-15}{12}$$

Tangohia te 15 i te -20, ka -35.

$$-\frac{35}{12}$$

Tauwehe

$$-\frac{35}{12} = -2\frac{11}{12} = -2.9166666666666665$$