Whakaoti i te d=-4/5*12/13-(-3/5)*5/13=

$$d = - \frac { 4 } { 5 } \times \frac { 12 } { 13 } - ( - \frac { 3 } { 5 } ) \times \frac { 5 } { 13 } =$$

Whakaoti mō d

$$d=-\frac{33}{65}\approx -0.507692308$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea te -\frac{4}{5} ki te \frac{12}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$d=\frac{-4\times 12}{5\times 13}-\left(-\frac{3}{5}\times \frac{5}{13}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-4\times 12}{5\times 13}.

$$d=\frac{-48}{65}-\left(-\frac{3}{5}\times \frac{5}{13}\right)$$

Ka taea te hautanga \frac{-48}{65} te tuhi anō ko -\frac{48}{65} mā te tango i te tohu tōraro.

$$d=-\frac{48}{65}-\left(-\frac{3}{5}\times \frac{5}{13}\right)$$

Me whakarea te -\frac{3}{5} ki te \frac{5}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$d=-\frac{48}{65}-\frac{-3\times 5}{5\times 13}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$d=-\frac{48}{65}-\frac{-3}{13}$$

Ka taea te hautanga \frac{-3}{13} te tuhi anō ko -\frac{3}{13} mā te tango i te tohu tōraro.

$$d=-\frac{48}{65}-\left(-\frac{3}{13}\right)$$

Ko te tauaro o -\frac{3}{13} ko \frac{3}{13}.

$$d=-\frac{48}{65}+\frac{3}{13}$$

Ko te maha noa iti rawa atu o 65 me 13 ko 65. Me tahuri -\frac{48}{65} me \frac{3}{13} ki te hautau me te tautūnga 65.

$$d=-\frac{48}{65}+\frac{15}{65}$$

Tā te mea he rite te tauraro o -\frac{48}{65} me \frac{15}{65}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$d=\frac{-48+15}{65}$$

Tāpirihia te -48 ki te 15, ka -33.

$$d=-\frac{33}{65}$$

Tautapa d

$$d≔-\frac{33}{65}$$