Whakaoti i te 5+{-1/2-2-[3/4-5/6+(-1+1/3)]+frac{5}{4}}+1

$$5 + \{ - \frac { 1 } { 2 } - 2 - [ \frac { 3 } { 4 } - \frac { 5 } { 6 } + ( - 1 + \frac { 1 } { 3 } ) ] + \frac { 5 } { 4 } \} + 1$$

Aromātai

$$\frac{11}{2}=5.5$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{4}{2}.

$$5+-\frac{1}{2}-\frac{4}{2}-\left(\frac{3}{4}-\frac{5}{6}-1+\frac{1}{3}\right)+\frac{5}{4}+1$$

Tā te mea he rite te tauraro o -\frac{1}{2} me \frac{4}{2}, me tango rāua mā te tango i ō raua taurunga.

$$5+\frac{-1-4}{2}-\left(\frac{3}{4}-\frac{5}{6}-1+\frac{1}{3}\right)+\frac{5}{4}+1$$

Tangohia te 4 i te -1, ka -5.

$$5+-\frac{5}{2}-\left(\frac{3}{4}-\frac{5}{6}-1+\frac{1}{3}\right)+\frac{5}{4}+1$$

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{3}{4} me \frac{5}{6} ki te hautau me te tautūnga 12.

$$5+-\frac{5}{2}-\left(\frac{9}{12}-\frac{10}{12}-1+\frac{1}{3}\right)+\frac{5}{4}+1$$

Tā te mea he rite te tauraro o \frac{9}{12} me \frac{10}{12}, me tango rāua mā te tango i ō raua taurunga.

$$5+-\frac{5}{2}-\left(\frac{9-10}{12}-1+\frac{1}{3}\right)+\frac{5}{4}+1$$

Tangohia te 10 i te 9, ka -1.

$$5+-\frac{5}{2}-\left(-\frac{1}{12}-1+\frac{1}{3}\right)+\frac{5}{4}+1$$

Me tahuri te 1 ki te hautau \frac{12}{12}.

$$5+-\frac{5}{2}-\left(-\frac{1}{12}-\frac{12}{12}+\frac{1}{3}\right)+\frac{5}{4}+1$$

Tā te mea he rite te tauraro o -\frac{1}{12} me \frac{12}{12}, me tango rāua mā te tango i ō raua taurunga.

$$5+-\frac{5}{2}-\left(\frac{-1-12}{12}+\frac{1}{3}\right)+\frac{5}{4}+1$$

Tangohia te 12 i te -1, ka -13.

$$5+-\frac{5}{2}-\left(-\frac{13}{12}+\frac{1}{3}\right)+\frac{5}{4}+1$$

Ko te maha noa iti rawa atu o 12 me 3 ko 12. Me tahuri -\frac{13}{12} me \frac{1}{3} ki te hautau me te tautūnga 12.

$$5+-\frac{5}{2}-\left(-\frac{13}{12}+\frac{4}{12}\right)+\frac{5}{4}+1$$

Tā te mea he rite te tauraro o -\frac{13}{12} me \frac{4}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$5-\frac{5}{2}-\frac{-13+4}{12}+\frac{5}{4}+1$$

Tāpirihia te -13 ki te 4, ka -9.

$$5-\frac{5}{2}-\frac{-9}{12}+\frac{5}{4}+1$$

Whakahekea te hautanga \frac{-9}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$5+-\frac{5}{2}-\left(-\frac{3}{4}\right)+\frac{5}{4}+1$$

Ko te tauaro o -\frac{3}{4} ko \frac{3}{4}.

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

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri -\frac{5}{2} me \frac{3}{4} ki te hautau me te tautūnga 4.

$$5-\frac{10}{4}+\frac{3}{4}+\frac{5}{4}+1$$

Tā te mea he rite te tauraro o -\frac{10}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$5+\frac{-10+3}{4}+\frac{5}{4}+1$$

Tāpirihia te -10 ki te 3, ka -7.

$$5-\frac{7}{4}+\frac{5}{4}+1$$

Me tahuri te 5 ki te hautau \frac{20}{4}.

$$\frac{20}{4}-\frac{7}{4}+\frac{5}{4}+1$$

Tā te mea he rite te tauraro o \frac{20}{4} me \frac{7}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{20-7}{4}+\frac{5}{4}+1$$

Tangohia te 7 i te 20, ka 13.

$$\frac{13}{4}+\frac{5}{4}+1$$

Tā te mea he rite te tauraro o \frac{13}{4} me \frac{5}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13+5}{4}+1$$

Tāpirihia te 13 ki te 5, ka 18.

$$\frac{18}{4}+1$$

Whakahekea te hautanga \frac{18}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{9}{2}+1$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{9}{2}+\frac{2}{2}$$

Tā te mea he rite te tauraro o \frac{9}{2} me \frac{2}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9+2}{2}$$

Tāpirihia te 9 ki te 2, ka 11.

$$\frac{11}{2}$$

Tauwehe

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$