Whakaoti i te 55/6-92/3+173/4-31/2

$$5 \frac { 5 } { 6 } - 9 \frac { 2 } { 3 } + 17 \frac { 3 } { 4 } - 3 \frac { 1 } { 2 }$$

Aromātai

$$\frac{125}{12}\approx 10.416666667$$

Ngā Upane Otinga

Whakareatia te 5 ki te 6, ka 30.

$$\frac{30+5}{6}-\frac{9\times 3+2}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Tāpirihia te 30 ki te 5, ka 35.

$$\frac{35}{6}-\frac{9\times 3+2}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Whakareatia te 9 ki te 3, ka 27.

$$\frac{35}{6}-\frac{27+2}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Tāpirihia te 27 ki te 2, ka 29.

$$\frac{35}{6}-\frac{29}{3}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{35}{6} me \frac{29}{3} ki te hautau me te tautūnga 6.

$$\frac{35}{6}-\frac{58}{6}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Tā te mea he rite te tauraro o \frac{35}{6} me \frac{58}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{35-58}{6}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Tangohia te 58 i te 35, ka -23.

$$-\frac{23}{6}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Whakareatia te 17 ki te 4, ka 68.

$$-\frac{23}{6}+\frac{68+3}{4}-\frac{3\times 2+1}{2}$$

Tāpirihia te 68 ki te 3, ka 71.

$$-\frac{23}{6}+\frac{71}{4}-\frac{3\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri -\frac{23}{6} me \frac{71}{4} ki te hautau me te tautūnga 12.

$$-\frac{46}{12}+\frac{213}{12}-\frac{3\times 2+1}{2}$$

Tā te mea he rite te tauraro o -\frac{46}{12} me \frac{213}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-46+213}{12}-\frac{3\times 2+1}{2}$$

Tāpirihia te -46 ki te 213, ka 167.

$$\frac{167}{12}-\frac{3\times 2+1}{2}$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{167}{12}-\frac{6+1}{2}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{167}{12}-\frac{7}{2}$$

Ko te maha noa iti rawa atu o 12 me 2 ko 12. Me tahuri \frac{167}{12} me \frac{7}{2} ki te hautau me te tautūnga 12.

$$\frac{167}{12}-\frac{42}{12}$$

Tā te mea he rite te tauraro o \frac{167}{12} me \frac{42}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{167-42}{12}$$

Tangohia te 42 i te 167, ka 125.

$$\frac{125}{12}$$

Tauwehe

$$\frac{5 ^ {3}}{2 ^ {2} \cdot 3} = 10\frac{5}{12} = 10.416666666666666$$