Whakaoti i te (-2/3)*(-13/4)*24/5+(-21/3)=

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

Aromātai

$$\frac{14}{15}\approx 0.933333333$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

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

Tāpirihia te 4 ki te 3, ka 7.

$$-\frac{2}{3}\left(-\frac{7}{4}\right)\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

Me whakarea te -\frac{2}{3} ki te -\frac{7}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-2\left(-7\right)}{3\times 4}\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{-2\left(-7\right)}{3\times 4}.

$$\frac{14}{12}\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

Whakahekea te hautanga \frac{14}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{7}{6}\times \frac{2\times 5+4}{5}-\frac{2\times 3+1}{3}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{7}{6}\times \frac{10+4}{5}-\frac{2\times 3+1}{3}$$

Tāpirihia te 10 ki te 4, ka 14.

$$\frac{7}{6}\times \frac{14}{5}-\frac{2\times 3+1}{3}$$

Me whakarea te \frac{7}{6} ki te \frac{14}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 14}{6\times 5}-\frac{2\times 3+1}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 14}{6\times 5}.

$$\frac{98}{30}-\frac{2\times 3+1}{3}$$

Whakahekea te hautanga \frac{98}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{49}{15}-\frac{2\times 3+1}{3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{49}{15}-\frac{6+1}{3}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{49}{15}-\frac{7}{3}$$

Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri \frac{49}{15} me \frac{7}{3} ki te hautau me te tautūnga 15.

$$\frac{49}{15}-\frac{35}{15}$$

Tā te mea he rite te tauraro o \frac{49}{15} me \frac{35}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{49-35}{15}$$

Tangohia te 35 i te 49, ka 14.

$$\frac{14}{15}$$

Tauwehe

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$