Whakaoti i te 11/5*(-2/3)-12/3div(-22/9)

$$1 \frac { 1 } { 5 } \times ( - \frac { 2 } { 3 } ) - 1 \frac { 2 } { 3 } \div ( - 2 \frac { 2 } { 9 } )$$

Aromātai

$$-\frac{1}{20}=-0.05$$

Ngā Upane Otinga

Whakareatia te 1 ki te 5, ka 5.

$$\frac{5+1}{5}\left(-\frac{2}{3}\right)-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Tāpirihia te 5 ki te 1, ka 6.

$$\frac{6}{5}\left(-\frac{2}{3}\right)-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Me whakarea te \frac{6}{5} ki te -\frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{6\left(-2\right)}{5\times 3}-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Mahia ngā whakarea i roto i te hautanga \frac{6\left(-2\right)}{5\times 3}.

$$\frac{-12}{15}-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Whakahekea te hautanga \frac{-12}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{4}{5}-\frac{\frac{1\times 3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Whakareatia te 1 ki te 3, ka 3.

$$-\frac{4}{5}-\frac{\frac{3+2}{3}}{-\frac{2\times 9+2}{9}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$-\frac{4}{5}-\frac{\frac{5}{3}}{-\frac{2\times 9+2}{9}}$$

Whakareatia te 2 ki te 9, ka 18.

$$-\frac{4}{5}-\frac{\frac{5}{3}}{-\frac{18+2}{9}}$$

Tāpirihia te 18 ki te 2, ka 20.

$$-\frac{4}{5}-\frac{\frac{5}{3}}{-\frac{20}{9}}$$

Whakawehe \frac{5}{3} ki te -\frac{20}{9} mā te whakarea \frac{5}{3} ki te tau huripoki o -\frac{20}{9}.

$$-\frac{4}{5}-\frac{5}{3}\left(-\frac{9}{20}\right)$$

Me whakarea te \frac{5}{3} ki te -\frac{9}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{4}{5}-\frac{5\left(-9\right)}{3\times 20}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\left(-9\right)}{3\times 20}.

$$-\frac{4}{5}-\frac{-45}{60}$$

Whakahekea te hautanga \frac{-45}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

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

Ko te tauaro o -\frac{3}{4} ko \frac{3}{4}.

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

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri -\frac{4}{5} me \frac{3}{4} ki te hautau me te tautūnga 20.

$$-\frac{16}{20}+\frac{15}{20}$$

Tā te mea he rite te tauraro o -\frac{16}{20} me \frac{15}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-16+15}{20}$$

Tāpirihia te -16 ki te 15, ka -1.

$$-\frac{1}{20}$$

Tauwehe

$$-\frac{1}{20} = -0.05$$