Whakaoti i te 2/3+21/2-52/4

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

Aromātai

$$-\frac{7}{3}\approx -2.333333333$$

Ngā Upane Otinga

Whakareatia te 2 ki te 2, ka 4.

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

Tāpirihia te 4 ki te 1, ka 5.

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

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{2}{3} me \frac{5}{2} ki te hautau me te tautūnga 6.

$$\frac{4}{6}+\frac{15}{6}-\frac{5\times 4+2}{4}$$

Tā te mea he rite te tauraro o \frac{4}{6} me \frac{15}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4+15}{6}-\frac{5\times 4+2}{4}$$

Tāpirihia te 4 ki te 15, ka 19.

$$\frac{19}{6}-\frac{5\times 4+2}{4}$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{19}{6}-\frac{20+2}{4}$$

Tāpirihia te 20 ki te 2, ka 22.

$$\frac{19}{6}-\frac{22}{4}$$

Whakahekea te hautanga \frac{22}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{19}{6}-\frac{11}{2}$$

Ko te maha noa iti rawa atu o 6 me 2 ko 6. Me tahuri \frac{19}{6} me \frac{11}{2} ki te hautau me te tautūnga 6.

$$\frac{19}{6}-\frac{33}{6}$$

Tā te mea he rite te tauraro o \frac{19}{6} me \frac{33}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{19-33}{6}$$

Tangohia te 33 i te 19, ka -14.

$$\frac{-14}{6}$$

Whakahekea te hautanga \frac{-14}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{7}{3}$$

Tauwehe

$$-\frac{7}{3} = -2\frac{1}{3} = -2.3333333333333335$$