Whakaoti i te (+2/3)+(-1/5)+(+4/3)+(-4/5)

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

Aromātai

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Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{2}{3} me \frac{1}{5} ki te hautau me te tautūnga 15.

$$\frac{10}{15}-\frac{3}{15}+\frac{4}{3}-\frac{4}{5}$$

Tā te mea he rite te tauraro o \frac{10}{15} me \frac{3}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-3}{15}+\frac{4}{3}-\frac{4}{5}$$

Tangohia te 3 i te 10, ka 7.

$$\frac{7}{15}+\frac{4}{3}-\frac{4}{5}$$

Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri \frac{7}{15} me \frac{4}{3} ki te hautau me te tautūnga 15.

$$\frac{7}{15}+\frac{20}{15}-\frac{4}{5}$$

Tā te mea he rite te tauraro o \frac{7}{15} me \frac{20}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7+20}{15}-\frac{4}{5}$$

Tāpirihia te 7 ki te 20, ka 27.

$$\frac{27}{15}-\frac{4}{5}$$

Whakahekea te hautanga \frac{27}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Tā te mea he rite te tauraro o \frac{9}{5} me \frac{4}{5}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 4 i te 9, ka 5.

$$\frac{5}{5}$$

Whakawehea te 5 ki te 5, kia riro ko 1.

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Tauwehe

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