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

$$\frac{7}{12}\approx 0.583333333$$

Ngā Upane Otinga

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

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

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

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

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.

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

Tāpirihia te -6 ki te 7, ka 1.

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

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

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

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

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

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

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

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

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

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

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

Ka taea te hautanga \frac{-3}{2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

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

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

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

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.

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

Tangohia te 2 i te 1, ka -1.

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

Ko te tauaro o -\frac{1}{2} ko \frac{1}{2}.

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

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

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

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

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

Tāpirihia te 1 ki te 2, ka 3.

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

Me whakarea te -\frac{3}{2} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{-3\times 3}{2\times 2}.

$$-\frac{5}{3}-\frac{-9}{4}$$

Ka taea te hautanga \frac{-9}{4} te tuhi anō ko -\frac{9}{4} mā te tango i te tohu tōraro.

$$-\frac{5}{3}-\left(-\frac{9}{4}\right)$$

Ko te tauaro o -\frac{9}{4} ko \frac{9}{4}.

$$-\frac{5}{3}+\frac{9}{4}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri -\frac{5}{3} me \frac{9}{4} ki te hautau me te tautūnga 12.

$$-\frac{20}{12}+\frac{27}{12}$$

Tā te mea he rite te tauraro o -\frac{20}{12} me \frac{27}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-20+27}{12}$$

Tāpirihia te -20 ki te 27, ka 7.

$$\frac{7}{12}$$

Tauwehe

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$