Whakaoti i te 41/3-25/6+57/12

$$4 \frac { 1 } { 3 } - 2 \frac { 5 } { 6 } + 5 \frac { 7 } { 12 }$$

Aromātai

$$\frac{85}{12}\approx 7.083333333$$

Ngā Upane Otinga

Whakareatia te 4 ki te 3, ka 12.

$$\frac{12+1}{3}-\frac{2\times 6+5}{6}+\frac{5\times 12+7}{12}$$

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{13}{3}-\frac{2\times 6+5}{6}+\frac{5\times 12+7}{12}$$

Whakareatia te 2 ki te 6, ka 12.

$$\frac{13}{3}-\frac{12+5}{6}+\frac{5\times 12+7}{12}$$

Tāpirihia te 12 ki te 5, ka 17.

$$\frac{13}{3}-\frac{17}{6}+\frac{5\times 12+7}{12}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{13}{3} me \frac{17}{6} ki te hautau me te tautūnga 6.

$$\frac{26}{6}-\frac{17}{6}+\frac{5\times 12+7}{12}$$

Tā te mea he rite te tauraro o \frac{26}{6} me \frac{17}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{26-17}{6}+\frac{5\times 12+7}{12}$$

Tangohia te 17 i te 26, ka 9.

$$\frac{9}{6}+\frac{5\times 12+7}{12}$$

Whakahekea te hautanga \frac{9}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Whakareatia te 5 ki te 12, ka 60.

$$\frac{3}{2}+\frac{60+7}{12}$$

Tāpirihia te 60 ki te 7, ka 67.

$$\frac{3}{2}+\frac{67}{12}$$

Ko te maha noa iti rawa atu o 2 me 12 ko 12. Me tahuri \frac{3}{2} me \frac{67}{12} ki te hautau me te tautūnga 12.

$$\frac{18}{12}+\frac{67}{12}$$

Tā te mea he rite te tauraro o \frac{18}{12} me \frac{67}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{18+67}{12}$$

Tāpirihia te 18 ki te 67, ka 85.

$$\frac{85}{12}$$

Tauwehe

$$\frac{5 \cdot 17}{2 ^ {2} \cdot 3} = 7\frac{1}{12} = 7.083333333333333$$