Whakaoti i te -4-3/4+1/2(6)+5/8(-2/15)

$$- 4 - \frac { 3 } { 4 } + \frac { 1 } { 2 } ( 6 ) + \frac { 5 } { 8 } ( \frac { - 2 } { 15 } )$$

Aromātai

$$-\frac{11}{6}\approx -1.833333333$$

Ngā Upane Otinga

Me tahuri te -4 ki te hautau -\frac{16}{4}.

$$-\frac{16}{4}-\frac{3}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

Tā te mea he rite te tauraro o -\frac{16}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-16-3}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

Tangohia te 3 i te -16, ka -19.

$$-\frac{19}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

Whakareatia te \frac{1}{2} ki te 6, ka \frac{6}{2}.

$$-\frac{19}{4}+\frac{6}{2}+\frac{5}{8}\times \frac{-2}{15}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$-\frac{19}{4}+3+\frac{5}{8}\times \frac{-2}{15}$$

Me tahuri te 3 ki te hautau \frac{12}{4}.

$$-\frac{19}{4}+\frac{12}{4}+\frac{5}{8}\times \frac{-2}{15}$$

Tā te mea he rite te tauraro o -\frac{19}{4} me \frac{12}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-19+12}{4}+\frac{5}{8}\times \frac{-2}{15}$$

Tāpirihia te -19 ki te 12, ka -7.

$$-\frac{7}{4}+\frac{5}{8}\times \frac{-2}{15}$$

Ka taea te hautanga \frac{-2}{15} te tuhi anō ko -\frac{2}{15} mā te tango i te tohu tōraro.

$$-\frac{7}{4}+\frac{5}{8}\left(-\frac{2}{15}\right)$$

Me whakarea te \frac{5}{8} ki te -\frac{2}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{7}{4}+\frac{5\left(-2\right)}{8\times 15}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\left(-2\right)}{8\times 15}.

$$-\frac{7}{4}+\frac{-10}{120}$$

Whakahekea te hautanga \frac{-10}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$-\frac{7}{4}-\frac{1}{12}$$

Ko te maha noa iti rawa atu o 4 me 12 ko 12. Me tahuri -\frac{7}{4} me \frac{1}{12} ki te hautau me te tautūnga 12.

$$-\frac{21}{12}-\frac{1}{12}$$

Tā te mea he rite te tauraro o -\frac{21}{12} me \frac{1}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-21-1}{12}$$

Tangohia te 1 i te -21, ka -22.

$$\frac{-22}{12}$$

Whakahekea te hautanga \frac{-22}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Tauwehe

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$