Whakaoti i te 41/2+22/3-31/4

$$4 \frac { 1 } { 2 } + 2 \frac { 2 } { 3 } - 3 \frac { 1 } { 4 }$$

Aromātai

$$\frac{47}{12}\approx 3.916666667$$

Ngā Upane Otinga

Whakareatia te 4 ki te 2, ka 8.

$$\frac{8+1}{2}+\frac{2\times 3+2}{3}-\frac{3\times 4+1}{4}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{9}{2}+\frac{2\times 3+2}{3}-\frac{3\times 4+1}{4}$$

Whakareatia te 2 ki te 3, ka 6.

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

Tāpirihia te 6 ki te 2, ka 8.

$$\frac{9}{2}+\frac{8}{3}-\frac{3\times 4+1}{4}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{9}{2} me \frac{8}{3} ki te hautau me te tautūnga 6.

$$\frac{27}{6}+\frac{16}{6}-\frac{3\times 4+1}{4}$$

Tā te mea he rite te tauraro o \frac{27}{6} me \frac{16}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{27+16}{6}-\frac{3\times 4+1}{4}$$

Tāpirihia te 27 ki te 16, ka 43.

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

Whakareatia te 3 ki te 4, ka 12.

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

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{43}{6}-\frac{13}{4}$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{43}{6} me \frac{13}{4} ki te hautau me te tautūnga 12.

$$\frac{86}{12}-\frac{39}{12}$$

Tā te mea he rite te tauraro o \frac{86}{12} me \frac{39}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{86-39}{12}$$

Tangohia te 39 i te 86, ka 47.

$$\frac{47}{12}$$

Tauwehe

$$\frac{47}{2 ^ {2} \cdot 3} = 3\frac{11}{12} = 3.9166666666666665$$