Whakaoti i te 37/12-1/6+23/4

$$3 \frac { 7 } { 12 } - \frac { 1 } { 6 } + 2 \frac { 3 } { 4 }$$

Aromātai

$$\frac{37}{6}\approx 6.166666667$$

Ngā Upane Otinga

Whakareatia te 3 ki te 12, ka 36.

$$\frac{36+7}{12}-\frac{1}{6}+\frac{2\times 4+3}{4}$$

Tāpirihia te 36 ki te 7, ka 43.

$$\frac{43}{12}-\frac{1}{6}+\frac{2\times 4+3}{4}$$

Ko te maha noa iti rawa atu o 12 me 6 ko 12. Me tahuri \frac{43}{12} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$\frac{43}{12}-\frac{2}{12}+\frac{2\times 4+3}{4}$$

Tā te mea he rite te tauraro o \frac{43}{12} me \frac{2}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{43-2}{12}+\frac{2\times 4+3}{4}$$

Tangohia te 2 i te 43, ka 41.

$$\frac{41}{12}+\frac{2\times 4+3}{4}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{41}{12}+\frac{8+3}{4}$$

Tāpirihia te 8 ki te 3, ka 11.

$$\frac{41}{12}+\frac{11}{4}$$

Ko te maha noa iti rawa atu o 12 me 4 ko 12. Me tahuri \frac{41}{12} me \frac{11}{4} ki te hautau me te tautūnga 12.

$$\frac{41}{12}+\frac{33}{12}$$

Tā te mea he rite te tauraro o \frac{41}{12} me \frac{33}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{41+33}{12}$$

Tāpirihia te 41 ki te 33, ka 74.

$$\frac{74}{12}$$

Whakahekea te hautanga \frac{74}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{37}{6}$$

Tauwehe

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$