Whakaoti i te (+13/4)+(-5/6)+(-11/4)+(31/3)

$$( + 1 \frac { 3 } { 4 } ) + ( - \frac { 5 } { 6 } ) + ( - 1 \frac { 1 } { 4 } ) + ( 3 \frac { 1 } { 3 } )$$

Aromātai

$$3$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

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

Tāpirihia te 4 ki te 3, ka 7.

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

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{7}{4} me \frac{5}{6} ki te hautau me te tautūnga 12.

$$\frac{21}{12}-\frac{10}{12}-\frac{1\times 4+1}{4}+\frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{21}{12} me \frac{10}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{21-10}{12}-\frac{1\times 4+1}{4}+\frac{3\times 3+1}{3}$$

Tangohia te 10 i te 21, ka 11.

$$\frac{11}{12}-\frac{1\times 4+1}{4}+\frac{3\times 3+1}{3}$$

Whakareatia te 1 ki te 4, ka 4.

$$\frac{11}{12}-\frac{4+1}{4}+\frac{3\times 3+1}{3}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{11}{12}-\frac{5}{4}+\frac{3\times 3+1}{3}$$

Ko te maha noa iti rawa atu o 12 me 4 ko 12. Me tahuri \frac{11}{12} me \frac{5}{4} ki te hautau me te tautūnga 12.

$$\frac{11}{12}-\frac{15}{12}+\frac{3\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{11}{12} me \frac{15}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{11-15}{12}+\frac{3\times 3+1}{3}$$

Tangohia te 15 i te 11, ka -4.

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

Whakahekea te hautanga \frac{-4}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{1}{3}+\frac{3\times 3+1}{3}$$

Whakareatia te 3 ki te 3, ka 9.

$$-\frac{1}{3}+\frac{9+1}{3}$$

Tāpirihia te 9 ki te 1, ka 10.

$$-\frac{1}{3}+\frac{10}{3}$$

Tā te mea he rite te tauraro o -\frac{1}{3} me \frac{10}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-1+10}{3}$$

Tāpirihia te -1 ki te 10, ka 9.

$$\frac{9}{3}$$

Whakawehea te 9 ki te 3, kia riro ko 3.

$$3$$

Tauwehe

$$3$$