Whakaoti i te 272/3-1585/6+2084/9=?

$$27 \frac { 2 } { 3 } - 158 \frac { 5 } { 6 } + 208 \frac { 4 } { 9 } = ?$$

Aromātai

$$\frac{1391}{18}\approx 77.277777778$$

Ngā Upane Otinga

Whakareatia te 27 ki te 3, ka 81.

$$\frac{81+2}{3}-\frac{158\times 6+5}{6}+\frac{208\times 9+4}{9}$$

Tāpirihia te 81 ki te 2, ka 83.

$$\frac{83}{3}-\frac{158\times 6+5}{6}+\frac{208\times 9+4}{9}$$

Whakareatia te 158 ki te 6, ka 948.

$$\frac{83}{3}-\frac{948+5}{6}+\frac{208\times 9+4}{9}$$

Tāpirihia te 948 ki te 5, ka 953.

$$\frac{83}{3}-\frac{953}{6}+\frac{208\times 9+4}{9}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{83}{3} me \frac{953}{6} ki te hautau me te tautūnga 6.

$$\frac{166}{6}-\frac{953}{6}+\frac{208\times 9+4}{9}$$

Tā te mea he rite te tauraro o \frac{166}{6} me \frac{953}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{166-953}{6}+\frac{208\times 9+4}{9}$$

Tangohia te 953 i te 166, ka -787.

$$-\frac{787}{6}+\frac{208\times 9+4}{9}$$

Whakareatia te 208 ki te 9, ka 1872.

$$-\frac{787}{6}+\frac{1872+4}{9}$$

Tāpirihia te 1872 ki te 4, ka 1876.

$$-\frac{787}{6}+\frac{1876}{9}$$

Ko te maha noa iti rawa atu o 6 me 9 ko 18. Me tahuri -\frac{787}{6} me \frac{1876}{9} ki te hautau me te tautūnga 18.

$$-\frac{2361}{18}+\frac{3752}{18}$$

Tā te mea he rite te tauraro o -\frac{2361}{18} me \frac{3752}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-2361+3752}{18}$$

Tāpirihia te -2361 ki te 3752, ka 1391.

$$\frac{1391}{18}$$

Tauwehe

$$\frac{13 \cdot 107}{2 \cdot 3 ^ {2}} = 77\frac{5}{18} = 77.27777777777777$$