Whakaoti i te 5/12-2-5/4+13/6

$$\frac { 5 } { 12 } - 2 - \frac { 5 } { 4 } + \frac { 13 } { 6 }$$

Aromātai

$$-\frac{2}{3}\approx -0.666666667$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{24}{12}.

$$\frac{5}{12}-\frac{24}{12}-\frac{5}{4}+\frac{13}{6}$$

Tā te mea he rite te tauraro o \frac{5}{12} me \frac{24}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5-24}{12}-\frac{5}{4}+\frac{13}{6}$$

Tangohia te 24 i te 5, ka -19.

$$-\frac{19}{12}-\frac{5}{4}+\frac{13}{6}$$

Ko te maha noa iti rawa atu o 12 me 4 ko 12. Me tahuri -\frac{19}{12} me \frac{5}{4} ki te hautau me te tautūnga 12.

$$-\frac{19}{12}-\frac{15}{12}+\frac{13}{6}$$

Tā te mea he rite te tauraro o -\frac{19}{12} me \frac{15}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-19-15}{12}+\frac{13}{6}$$

Tangohia te 15 i te -19, ka -34.

$$\frac{-34}{12}+\frac{13}{6}$$

Whakahekea te hautanga \frac{-34}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{17}{6}+\frac{13}{6}$$

Tā te mea he rite te tauraro o -\frac{17}{6} me \frac{13}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-17+13}{6}$$

Tāpirihia te -17 ki te 13, ka -4.

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

Whakahekea te hautanga \frac{-4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{2}{3}$$

Tauwehe

$$-\frac{2}{3} = -0.6666666666666666$$