Whakaoti i te A=1-(-1/2)*(-5/3)-4/3:(1/2-1)+frac{1}{6}

$$A = 1 - ( - \frac { 1 } { 2 } ) \cdot ( - \frac { 5 } { 3 } ) - \frac { 4 } { 3 } : ( \frac { 1 } { 2 } - 1 ) + \frac { 1 } { 6 }$$

Whakaoti mō A

$$A=3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea te -\frac{1}{2} ki te -\frac{5}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$A=1-\frac{-\left(-5\right)}{2\times 3}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

Mahia ngā whakarea i roto i te hautanga \frac{-\left(-5\right)}{2\times 3}.

$$A=1-\frac{5}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

Me tahuri te 1 ki te hautau \frac{6}{6}.

$$A=\frac{6}{6}-\frac{5}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{6}{6} me \frac{5}{6}, me tango rāua mā te tango i ō raua taurunga.

$$A=\frac{6-5}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

Tangohia te 5 i te 6, ka 1.

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

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

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-\frac{2}{2}}+\frac{1}{6}$$

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.

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{\frac{1-2}{2}}+\frac{1}{6}$$

Tangohia te 2 i te 1, ka -1.

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{-\frac{1}{2}}+\frac{1}{6}$$

Whakawehe \frac{4}{3} ki te -\frac{1}{2} mā te whakarea \frac{4}{3} ki te tau huripoki o -\frac{1}{2}.

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

Tuhia te \frac{4}{3}\left(-2\right) hei hautanga kotahi.

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

Whakareatia te 4 ki te -2, ka -8.

$$A=\frac{1}{6}-\frac{-8}{3}+\frac{1}{6}$$

Ka taea te hautanga \frac{-8}{3} te tuhi anō ko -\frac{8}{3} mā te tango i te tohu tōraro.

$$A=\frac{1}{6}-\left(-\frac{8}{3}\right)+\frac{1}{6}$$

Ko te tauaro o -\frac{8}{3} ko \frac{8}{3}.

$$A=\frac{1}{6}+\frac{8}{3}+\frac{1}{6}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{1}{6} me \frac{8}{3} ki te hautau me te tautūnga 6.

$$A=\frac{1}{6}+\frac{16}{6}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{1}{6} me \frac{16}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$A=\frac{1+16}{6}+\frac{1}{6}$$

Tāpirihia te 1 ki te 16, ka 17.

$$A=\frac{17}{6}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{17}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$A=\frac{17+1}{6}$$

Tāpirihia te 17 ki te 1, ka 18.

$$A=\frac{18}{6}$$

Whakawehea te 18 ki te 6, kia riro ko 3.

$$A=3$$

Tautapa A

$$A≔3$$