Whakaoti i te 21/3+45/9-11/6=

$$2 \frac { 1 } { 3 } + 4 \frac { 5 } { 9 } - 1 \frac { 1 } { 6 } =$$

Aromātai

$$\frac{103}{18}\approx 5.722222222$$

Ngā Upane Otinga

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6+1}{3}+\frac{4\times 9+5}{9}-\frac{1\times 6+1}{6}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{7}{3}+\frac{4\times 9+5}{9}-\frac{1\times 6+1}{6}$$

Whakareatia te 4 ki te 9, ka 36.

$$\frac{7}{3}+\frac{36+5}{9}-\frac{1\times 6+1}{6}$$

Tāpirihia te 36 ki te 5, ka 41.

$$\frac{7}{3}+\frac{41}{9}-\frac{1\times 6+1}{6}$$

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri \frac{7}{3} me \frac{41}{9} ki te hautau me te tautūnga 9.

$$\frac{21}{9}+\frac{41}{9}-\frac{1\times 6+1}{6}$$

Tā te mea he rite te tauraro o \frac{21}{9} me \frac{41}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{21+41}{9}-\frac{1\times 6+1}{6}$$

Tāpirihia te 21 ki te 41, ka 62.

$$\frac{62}{9}-\frac{1\times 6+1}{6}$$

Whakareatia te 1 ki te 6, ka 6.

$$\frac{62}{9}-\frac{6+1}{6}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{62}{9}-\frac{7}{6}$$

Ko te maha noa iti rawa atu o 9 me 6 ko 18. Me tahuri \frac{62}{9} me \frac{7}{6} ki te hautau me te tautūnga 18.

$$\frac{124}{18}-\frac{21}{18}$$

Tā te mea he rite te tauraro o \frac{124}{18} me \frac{21}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{124-21}{18}$$

Tangohia te 21 i te 124, ka 103.

$$\frac{103}{18}$$

Tauwehe

$$\frac{103}{2 \cdot 3 ^ {2}} = 5\frac{13}{18} = 5.722222222222222$$