Whakaoti i te 100002/3-4000-8/27-8000-4/9+240002/3

$$10000 \frac { 2 } { 3 } - 4000 - \frac { 8 } { 27 } - 8000 - \frac { 4 } { 9 } + 24000 \frac { 2 } { 3 }$$

Aromātai

$$\frac{594016}{27}\approx 22000.592592593$$

Ngā Upane Otinga

Whakareatia te 10000 ki te 3, ka 30000.

$$\frac{30000+2}{3}-4000-\frac{8}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Tāpirihia te 30000 ki te 2, ka 30002.

$$\frac{30002}{3}-4000-\frac{8}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Me tahuri te 4000 ki te hautau \frac{12000}{3}.

$$\frac{30002}{3}-\frac{12000}{3}-\frac{8}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Tā te mea he rite te tauraro o \frac{30002}{3} me \frac{12000}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{30002-12000}{3}-\frac{8}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Tangohia te 12000 i te 30002, ka 18002.

$$\frac{18002}{3}-\frac{8}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Ko te maha noa iti rawa atu o 3 me 27 ko 27. Me tahuri \frac{18002}{3} me \frac{8}{27} ki te hautau me te tautūnga 27.

$$\frac{162018}{27}-\frac{8}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Tā te mea he rite te tauraro o \frac{162018}{27} me \frac{8}{27}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{162018-8}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Tangohia te 8 i te 162018, ka 162010.

$$\frac{162010}{27}-8000-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Me tahuri te 8000 ki te hautau \frac{216000}{27}.

$$\frac{162010}{27}-\frac{216000}{27}-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Tā te mea he rite te tauraro o \frac{162010}{27} me \frac{216000}{27}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{162010-216000}{27}-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Tangohia te 216000 i te 162010, ka -53990.

$$-\frac{53990}{27}-\frac{4}{9}+\frac{24000\times 3+2}{3}$$

Ko te maha noa iti rawa atu o 27 me 9 ko 27. Me tahuri -\frac{53990}{27} me \frac{4}{9} ki te hautau me te tautūnga 27.

$$-\frac{53990}{27}-\frac{12}{27}+\frac{24000\times 3+2}{3}$$

Tā te mea he rite te tauraro o -\frac{53990}{27} me \frac{12}{27}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-53990-12}{27}+\frac{24000\times 3+2}{3}$$

Tangohia te 12 i te -53990, ka -54002.

$$-\frac{54002}{27}+\frac{24000\times 3+2}{3}$$

Whakareatia te 24000 ki te 3, ka 72000.

$$-\frac{54002}{27}+\frac{72000+2}{3}$$

Tāpirihia te 72000 ki te 2, ka 72002.

$$-\frac{54002}{27}+\frac{72002}{3}$$

Ko te maha noa iti rawa atu o 27 me 3 ko 27. Me tahuri -\frac{54002}{27} me \frac{72002}{3} ki te hautau me te tautūnga 27.

$$-\frac{54002}{27}+\frac{648018}{27}$$

Tā te mea he rite te tauraro o -\frac{54002}{27} me \frac{648018}{27}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-54002+648018}{27}$$

Tāpirihia te -54002 ki te 648018, ka 594016.

$$\frac{594016}{27}$$

Tauwehe

$$\frac{2 ^ {5} \cdot 19 \cdot 977}{3 ^ {3}} = 22000\frac{16}{27} = 22000.59259259259$$