Whakaoti i te 6/9+4^2/18-3/6+12/3=

$$\frac { 6 } { 9 } + \frac { 4 ^ { 2 } } { 18 } - \frac { 3 } { 6 } + \frac { 12 } { 3 } =$$

Aromātai

$$\frac{91}{18}\approx 5.055555556$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{6}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{2}{3}+\frac{4^{2}}{18}-\frac{3}{6}+\frac{12}{3}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{2}{3}+\frac{16}{18}-\frac{3}{6}+\frac{12}{3}$$

Whakahekea te hautanga \frac{16}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{3}+\frac{8}{9}-\frac{3}{6}+\frac{12}{3}$$

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri \frac{2}{3} me \frac{8}{9} ki te hautau me te tautūnga 9.

$$\frac{6}{9}+\frac{8}{9}-\frac{3}{6}+\frac{12}{3}$$

Tā te mea he rite te tauraro o \frac{6}{9} me \frac{8}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{6+8}{9}-\frac{3}{6}+\frac{12}{3}$$

Tāpirihia te 6 ki te 8, ka 14.

$$\frac{14}{9}-\frac{3}{6}+\frac{12}{3}$$

Whakahekea te hautanga \frac{3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{14}{9}-\frac{1}{2}+\frac{12}{3}$$

Ko te maha noa iti rawa atu o 9 me 2 ko 18. Me tahuri \frac{14}{9} me \frac{1}{2} ki te hautau me te tautūnga 18.

$$\frac{28}{18}-\frac{9}{18}+\frac{12}{3}$$

Tā te mea he rite te tauraro o \frac{28}{18} me \frac{9}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{28-9}{18}+\frac{12}{3}$$

Tangohia te 9 i te 28, ka 19.

$$\frac{19}{18}+\frac{12}{3}$$

Whakawehea te 12 ki te 3, kia riro ko 4.

$$\frac{19}{18}+4$$

Me tahuri te 4 ki te hautau \frac{72}{18}.

$$\frac{19}{18}+\frac{72}{18}$$

Tā te mea he rite te tauraro o \frac{19}{18} me \frac{72}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{19+72}{18}$$

Tāpirihia te 19 ki te 72, ka 91.

$$\frac{91}{18}$$

Tauwehe

$$\frac{7 \cdot 13}{2 \cdot 3 ^ {2}} = 5\frac{1}{18} = 5.055555555555555$$