Whakaoti i te 151/2+72/3-91/4

$$15 \frac{ 1 }{ 2 } +7 \frac{ 2 }{ 3 } -9 \frac{ 1 }{ 4 }$$

Aromātai

$$\frac{167}{12}\approx 13.916666667$$

Ngā Upane Otinga

Whakareatia te 15 ki te 2, ka 30.

$$\frac{30+1}{2}+\frac{7\times 3+2}{3}-\frac{9\times 4+1}{4}$$

Tāpirihia te 30 ki te 1, ka 31.

$$\frac{31}{2}+\frac{7\times 3+2}{3}-\frac{9\times 4+1}{4}$$

Whakareatia te 7 ki te 3, ka 21.

$$\frac{31}{2}+\frac{21+2}{3}-\frac{9\times 4+1}{4}$$

Tāpirihia te 21 ki te 2, ka 23.

$$\frac{31}{2}+\frac{23}{3}-\frac{9\times 4+1}{4}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{31}{2} me \frac{23}{3} ki te hautau me te tautūnga 6.

$$\frac{93}{6}+\frac{46}{6}-\frac{9\times 4+1}{4}$$

Tā te mea he rite te tauraro o \frac{93}{6} me \frac{46}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{93+46}{6}-\frac{9\times 4+1}{4}$$

Tāpirihia te 93 ki te 46, ka 139.

$$\frac{139}{6}-\frac{9\times 4+1}{4}$$

Whakareatia te 9 ki te 4, ka 36.

$$\frac{139}{6}-\frac{36+1}{4}$$

Tāpirihia te 36 ki te 1, ka 37.

$$\frac{139}{6}-\frac{37}{4}$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{139}{6} me \frac{37}{4} ki te hautau me te tautūnga 12.

$$\frac{278}{12}-\frac{111}{12}$$

Tā te mea he rite te tauraro o \frac{278}{12} me \frac{111}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{278-111}{12}$$

Tangohia te 111 i te 278, ka 167.

$$\frac{167}{12}$$

Tauwehe

$$\frac{167}{2 ^ {2} \cdot 3} = 13\frac{11}{12} = 13.916666666666666$$