Whakaoti i te 3/4+(-7/2)+(-1/6)+2/3+(-1)

$$\frac { 3 } { 4 } + ( - \frac { 7 } { 2 } ) + ( - \frac { 1 } { 6 } ) + \frac { 2 } { 3 } + ( - 1 )$$

Aromātai

$$-\frac{13}{4}=-3.25$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri \frac{3}{4} me \frac{7}{2} ki te hautau me te tautūnga 4.

$$\frac{3}{4}-\frac{14}{4}-\frac{1}{6}+\frac{2}{3}-1$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{14}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-14}{4}-\frac{1}{6}+\frac{2}{3}-1$$

Tangohia te 14 i te 3, ka -11.

$$-\frac{11}{4}-\frac{1}{6}+\frac{2}{3}-1$$

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri -\frac{11}{4} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$-\frac{33}{12}-\frac{2}{12}+\frac{2}{3}-1$$

Tā te mea he rite te tauraro o -\frac{33}{12} me \frac{2}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-33-2}{12}+\frac{2}{3}-1$$

Tangohia te 2 i te -33, ka -35.

$$-\frac{35}{12}+\frac{2}{3}-1$$

Ko te maha noa iti rawa atu o 12 me 3 ko 12. Me tahuri -\frac{35}{12} me \frac{2}{3} ki te hautau me te tautūnga 12.

$$-\frac{35}{12}+\frac{8}{12}-1$$

Tā te mea he rite te tauraro o -\frac{35}{12} me \frac{8}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-35+8}{12}-1$$

Tāpirihia te -35 ki te 8, ka -27.

$$\frac{-27}{12}-1$$

Whakahekea te hautanga \frac{-27}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{9}{4}-1$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

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

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

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

Tangohia te 4 i te -9, ka -13.

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

Tauwehe

$$-\frac{13}{4} = -3\frac{1}{4} = -3.25$$