Whakaoti i te (-11/4)-(-121/14)+(+5/3)-(-3/14)-frac{29}{4}+(-frac{16}{3})l

$$( - \frac { 11 } { 4 } ) - ( - \frac { 121 } { 14 } ) + ( + \frac { 5 } { 3 } ) - ( - \frac { 3 } { 14 } ) - \frac { 29 } { 4 } + ( - \frac { 16 } { 3 } ) l$$

Aromātai

$$-\frac{16l}{3}+\frac{11}{21}$$

Ngā Upane Otinga

Ko te tauaro o -\frac{121}{14} ko \frac{121}{14}.

$$-\frac{11}{4}+\frac{121}{14}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

Ko te maha noa iti rawa atu o 4 me 14 ko 28. Me tahuri -\frac{11}{4} me \frac{121}{14} ki te hautau me te tautūnga 28.

$$-\frac{77}{28}+\frac{242}{28}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

Tā te mea he rite te tauraro o -\frac{77}{28} me \frac{242}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-77+242}{28}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

Tāpirihia te -77 ki te 242, ka 165.

$$\frac{165}{28}+\frac{5}{3}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

Ko te maha noa iti rawa atu o 28 me 3 ko 84. Me tahuri \frac{165}{28} me \frac{5}{3} ki te hautau me te tautūnga 84.

$$\frac{495}{84}+\frac{140}{84}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

Tā te mea he rite te tauraro o \frac{495}{84} me \frac{140}{84}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{495+140}{84}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

Tāpirihia te 495 ki te 140, ka 635.

$$\frac{635}{84}-\left(-\frac{3}{14}\right)-\frac{29}{4}-\frac{16}{3}l$$

Ko te tauaro o -\frac{3}{14} ko \frac{3}{14}.

$$\frac{635}{84}+\frac{3}{14}-\frac{29}{4}-\frac{16}{3}l$$

Ko te maha noa iti rawa atu o 84 me 14 ko 84. Me tahuri \frac{635}{84} me \frac{3}{14} ki te hautau me te tautūnga 84.

$$\frac{635}{84}+\frac{18}{84}-\frac{29}{4}-\frac{16}{3}l$$

Tā te mea he rite te tauraro o \frac{635}{84} me \frac{18}{84}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{635+18}{84}-\frac{29}{4}-\frac{16}{3}l$$

Tāpirihia te 635 ki te 18, ka 653.

$$\frac{653}{84}-\frac{29}{4}-\frac{16}{3}l$$

Ko te maha noa iti rawa atu o 84 me 4 ko 84. Me tahuri \frac{653}{84} me \frac{29}{4} ki te hautau me te tautūnga 84.

$$\frac{653}{84}-\frac{609}{84}-\frac{16}{3}l$$

Tā te mea he rite te tauraro o \frac{653}{84} me \frac{609}{84}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{653-609}{84}-\frac{16}{3}l$$

Tangohia te 609 i te 653, ka 44.

$$\frac{44}{84}-\frac{16}{3}l$$

Whakahekea te hautanga \frac{44}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{11}{21}-\frac{16}{3}l$$

Tauwehe

$$\frac{11-112l}{21}$$

Ngā Upane Otinga

Tauwehea te \frac{1}{84}.

$$\frac{44-448l}{84}$$

Whakaarohia te -231+726+140+18-609-448l. Whakarea ka paheko i ngā kīanga tau ōrite.

$$-448l+44$$

Whakaarohia te -448l+44. Tauwehea te 4.

$$4\left(-112l+11\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$\frac{-112l+11}{21}$$