Whakaoti i te -55/6-92/3div173/4-31/2

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

Aromātai

$$-\frac{2104}{213}\approx -9.877934272$$

Ngā Upane Otinga

Whakareatia te 5 ki te 6, ka 30.

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

Tāpirihia te 30 ki te 5, ka 35.

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

Whakawehe \frac{9\times 3+2}{3} ki te \frac{17\times 4+3}{4} mā te whakarea \frac{9\times 3+2}{3} ki te tau huripoki o \frac{17\times 4+3}{4}.

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

Whakareatia te 9 ki te 3, ka 27.

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

Tāpirihia te 27 ki te 2, ka 29.

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

Whakareatia te 29 ki te 4, ka 116.

$$-\frac{35}{6}-\frac{116}{3\left(17\times 4+3\right)}-\frac{3\times 2+1}{2}$$

Whakareatia te 17 ki te 4, ka 68.

$$-\frac{35}{6}-\frac{116}{3\left(68+3\right)}-\frac{3\times 2+1}{2}$$

Tāpirihia te 68 ki te 3, ka 71.

$$-\frac{35}{6}-\frac{116}{3\times 71}-\frac{3\times 2+1}{2}$$

Whakareatia te 3 ki te 71, ka 213.

$$-\frac{35}{6}-\frac{116}{213}-\frac{3\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 6 me 213 ko 426. Me tahuri -\frac{35}{6} me \frac{116}{213} ki te hautau me te tautūnga 426.

$$-\frac{2485}{426}-\frac{232}{426}-\frac{3\times 2+1}{2}$$

Tā te mea he rite te tauraro o -\frac{2485}{426} me \frac{232}{426}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-2485-232}{426}-\frac{3\times 2+1}{2}$$

Tangohia te 232 i te -2485, ka -2717.

$$-\frac{2717}{426}-\frac{3\times 2+1}{2}$$

Whakareatia te 3 ki te 2, ka 6.

$$-\frac{2717}{426}-\frac{6+1}{2}$$

Tāpirihia te 6 ki te 1, ka 7.

$$-\frac{2717}{426}-\frac{7}{2}$$

Ko te maha noa iti rawa atu o 426 me 2 ko 426. Me tahuri -\frac{2717}{426} me \frac{7}{2} ki te hautau me te tautūnga 426.

$$-\frac{2717}{426}-\frac{1491}{426}$$

Tā te mea he rite te tauraro o -\frac{2717}{426} me \frac{1491}{426}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-2717-1491}{426}$$

Tangohia te 1491 i te -2717, ka -4208.

$$\frac{-4208}{426}$$

Whakahekea te hautanga \frac{-4208}{426} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{2104}{213}$$

Tauwehe

$$-\frac{2104}{213} = -9\frac{187}{213} = -9.87793427230047$$