Whakaoti i te [(5/6-1/4)div11/3]*(-2/3)

$$[ ( \frac { 5 } { 6 } - \frac { 1 } { 4 } ) \div 1 \frac { 1 } { 3 } ] \times ( - \frac { 2 } { 3 } )$$

Aromātai

$$-\frac{7}{24}\approx -0.291666667$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{5}{6} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$\frac{\frac{10}{12}-\frac{3}{12}}{\frac{1\times 3+1}{3}}\left(-\frac{2}{3}\right)$$

Tā te mea he rite te tauraro o \frac{10}{12} me \frac{3}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{10-3}{12}}{\frac{1\times 3+1}{3}}\left(-\frac{2}{3}\right)$$

Tangohia te 3 i te 10, ka 7.

$$\frac{\frac{7}{12}}{\frac{1\times 3+1}{3}}\left(-\frac{2}{3}\right)$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{\frac{7}{12}}{\frac{3+1}{3}}\left(-\frac{2}{3}\right)$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{\frac{7}{12}}{\frac{4}{3}}\left(-\frac{2}{3}\right)$$

Whakawehe \frac{7}{12} ki te \frac{4}{3} mā te whakarea \frac{7}{12} ki te tau huripoki o \frac{4}{3}.

$$\frac{7}{12}\times \frac{3}{4}\left(-\frac{2}{3}\right)$$

Me whakarea te \frac{7}{12} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 3}{12\times 4}\left(-\frac{2}{3}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 3}{12\times 4}.

$$\frac{21}{48}\left(-\frac{2}{3}\right)$$

Whakahekea te hautanga \frac{21}{48} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{7}{16}\left(-\frac{2}{3}\right)$$

Me whakarea te \frac{7}{16} ki te -\frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\left(-2\right)}{16\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\left(-2\right)}{16\times 3}.

$$\frac{-14}{48}$$

Whakahekea te hautanga \frac{-14}{48} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{7}{24}$$

Tauwehe

$$-\frac{7}{24} = -0.2916666666666667$$