Whakaoti i te (22/5+12/3)-27/30

$$( 2 \frac { 2 } { 5 } + 1 \frac { 2 } { 3 } ) - 2 \frac { 7 } { 30 }$$

Aromātai

$$\frac{11}{6}\approx 1.833333333$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10+2}{5}+\frac{1\times 3+2}{3}-\frac{2\times 30+7}{30}$$

Tāpirihia te 10 ki te 2, ka 12.

$$\frac{12}{5}+\frac{1\times 3+2}{3}-\frac{2\times 30+7}{30}$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{12}{5}+\frac{3+2}{3}-\frac{2\times 30+7}{30}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{12}{5}+\frac{5}{3}-\frac{2\times 30+7}{30}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{12}{5} me \frac{5}{3} ki te hautau me te tautūnga 15.

$$\frac{36}{15}+\frac{25}{15}-\frac{2\times 30+7}{30}$$

Tā te mea he rite te tauraro o \frac{36}{15} me \frac{25}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{36+25}{15}-\frac{2\times 30+7}{30}$$

Tāpirihia te 36 ki te 25, ka 61.

$$\frac{61}{15}-\frac{2\times 30+7}{30}$$

Whakareatia te 2 ki te 30, ka 60.

$$\frac{61}{15}-\frac{60+7}{30}$$

Tāpirihia te 60 ki te 7, ka 67.

$$\frac{61}{15}-\frac{67}{30}$$

Ko te maha noa iti rawa atu o 15 me 30 ko 30. Me tahuri \frac{61}{15} me \frac{67}{30} ki te hautau me te tautūnga 30.

$$\frac{122}{30}-\frac{67}{30}$$

Tā te mea he rite te tauraro o \frac{122}{30} me \frac{67}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{122-67}{30}$$

Tangohia te 67 i te 122, ka 55.

$$\frac{55}{30}$$

Whakahekea te hautanga \frac{55}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{11}{6}$$

Tauwehe

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$