Whakaoti i te -2/3+(-2/7)*12/5-1/5

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

Aromātai

$$-\frac{19}{15}\approx -1.266666667$$

Ngā Upane Otinga

Whakareatia te 1 ki te 5, ka 5.

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

Tāpirihia te 5 ki te 2, ka 7.

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

Me whakarea te -\frac{2}{7} ki te \frac{7}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$-\frac{2}{3}+\frac{-2}{5}-\frac{1}{5}$$

Ka taea te hautanga \frac{-2}{5} te tuhi anō ko -\frac{2}{5} mā te tango i te tohu tōraro.

$$-\frac{2}{3}-\frac{2}{5}-\frac{1}{5}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri -\frac{2}{3} me \frac{2}{5} ki te hautau me te tautūnga 15.

$$-\frac{10}{15}-\frac{6}{15}-\frac{1}{5}$$

Tā te mea he rite te tauraro o -\frac{10}{15} me \frac{6}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-10-6}{15}-\frac{1}{5}$$

Tangohia te 6 i te -10, ka -16.

$$-\frac{16}{15}-\frac{1}{5}$$

Ko te maha noa iti rawa atu o 15 me 5 ko 15. Me tahuri -\frac{16}{15} me \frac{1}{5} ki te hautau me te tautūnga 15.

$$-\frac{16}{15}-\frac{3}{15}$$

Tā te mea he rite te tauraro o -\frac{16}{15} me \frac{3}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-16-3}{15}$$

Tangohia te 3 i te -16, ka -19.

$$-\frac{19}{15}$$

Tauwehe

$$-\frac{19}{15} = -1\frac{4}{15} = -1.2666666666666666$$