Whakaoti i te (2/3-3/4)*(3/5-1/2)=

$$( \frac { 2 } { 3 } - \frac { 3 } { 4 } ) \cdot ( \frac { 3 } { 5 } - \frac { 1 } { 2 } ) =$$

Aromātai

$$-\frac{1}{120}\approx -0.008333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{2}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$\left(\frac{8}{12}-\frac{9}{12}\right)\left(\frac{3}{5}-\frac{1}{2}\right)$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-9}{12}\left(\frac{3}{5}-\frac{1}{2}\right)$$

Tangohia te 9 i te 8, ka -1.

$$-\frac{1}{12}\left(\frac{3}{5}-\frac{1}{2}\right)$$

Ko te maha noa iti rawa atu o 5 me 2 ko 10. Me tahuri \frac{3}{5} me \frac{1}{2} ki te hautau me te tautūnga 10.

$$-\frac{1}{12}\left(\frac{6}{10}-\frac{5}{10}\right)$$

Tā te mea he rite te tauraro o \frac{6}{10} me \frac{5}{10}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{1}{12}\times \frac{6-5}{10}$$

Tangohia te 5 i te 6, ka 1.

$$-\frac{1}{12}\times \frac{1}{10}$$

Me whakarea te -\frac{1}{12} ki te \frac{1}{10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-1}{12\times 10}$$

Mahia ngā whakarea i roto i te hautanga \frac{-1}{12\times 10}.

$$\frac{-1}{120}$$

Ka taea te hautanga \frac{-1}{120} te tuhi anō ko -\frac{1}{120} mā te tango i te tohu tōraro.

$$-\frac{1}{120}$$

Tauwehe

$$-\frac{1}{120} = -0.008333333333333333$$