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

$$-\frac{5}{4}=-1.25$$

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 -93.

$$\frac{-93}{6}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Whakahekea te hautanga \frac{-93}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{31}{2}+\frac{17\times 4+3}{4}-\frac{3\times 2+1}{2}$$

Whakareatia te 17 ki te 4, ka 68.

$$-\frac{31}{2}+\frac{68+3}{4}-\frac{3\times 2+1}{2}$$

Tāpirihia te 68 ki te 3, ka 71.

$$-\frac{31}{2}+\frac{71}{4}-\frac{3\times 2+1}{2}$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri -\frac{31}{2} me \frac{71}{4} ki te hautau me te tautūnga 4.

$$-\frac{62}{4}+\frac{71}{4}-\frac{3\times 2+1}{2}$$

Tā te mea he rite te tauraro o -\frac{62}{4} me \frac{71}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-62+71}{4}-\frac{3\times 2+1}{2}$$

Tāpirihia te -62 ki te 71, ka 9.

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

Whakareatia te 3 ki te 2, ka 6.

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

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{9}{4}-\frac{7}{2}$$

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri \frac{9}{4} me \frac{7}{2} ki te hautau me te tautūnga 4.

$$\frac{9}{4}-\frac{14}{4}$$

Tā te mea he rite te tauraro o \frac{9}{4} me \frac{14}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9-14}{4}$$

Tangohia te 14 i te 9, ka -5.

$$-\frac{5}{4}$$

Tauwehe

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$