Whakaoti i te -15/11-1/4:(5/6-3/8)

$$- 1 \frac { 5 } { 11 } - \frac { 1 } { 4 } : ( \frac { 5 } { 6 } - \frac { 3 } { 8 } )$$

Aromātai

$$-2$$

Ngā Upane Otinga

Whakareatia te 1 ki te 11, ka 11.

$$-\frac{11+5}{11}-\frac{\frac{1}{4}}{\frac{5}{6}-\frac{3}{8}}$$

Tāpirihia te 11 ki te 5, ka 16.

$$-\frac{16}{11}-\frac{\frac{1}{4}}{\frac{5}{6}-\frac{3}{8}}$$

Ko te maha noa iti rawa atu o 6 me 8 ko 24. Me tahuri \frac{5}{6} me \frac{3}{8} ki te hautau me te tautūnga 24.

$$-\frac{16}{11}-\frac{\frac{1}{4}}{\frac{20}{24}-\frac{9}{24}}$$

Tā te mea he rite te tauraro o \frac{20}{24} me \frac{9}{24}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{16}{11}-\frac{\frac{1}{4}}{\frac{20-9}{24}}$$

Tangohia te 9 i te 20, ka 11.

$$-\frac{16}{11}-\frac{\frac{1}{4}}{\frac{11}{24}}$$

Whakawehe \frac{1}{4} ki te \frac{11}{24} mā te whakarea \frac{1}{4} ki te tau huripoki o \frac{11}{24}.

$$-\frac{16}{11}-\frac{1}{4}\times \frac{24}{11}$$

Me whakarea te \frac{1}{4} ki te \frac{24}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{16}{11}-\frac{1\times 24}{4\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 24}{4\times 11}.

$$-\frac{16}{11}-\frac{24}{44}$$

Whakahekea te hautanga \frac{24}{44} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{16}{11}-\frac{6}{11}$$

Tā te mea he rite te tauraro o -\frac{16}{11} me \frac{6}{11}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-16-6}{11}$$

Tangohia te 6 i te -16, ka -22.

$$\frac{-22}{11}$$

Whakawehea te -22 ki te 11, kia riro ko -2.

$$-2$$

Tauwehe

$$-2$$