Whakaoti i te (1/3-1/12)div(1/8-1/2)

$$( \frac { 1 } { 3 } - \frac { 1 } { 12 } ) \div ( \frac { 1 } { 8 } - \frac { 1 } { 2 } )$$

Aromātai

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

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 12 ko 12. Me tahuri \frac{1}{3} me \frac{1}{12} ki te hautau me te tautūnga 12.

$$\frac{\frac{4}{12}-\frac{1}{12}}{\frac{1}{8}-\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{4}{12} me \frac{1}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{4-1}{12}}{\frac{1}{8}-\frac{1}{2}}$$

Tangohia te 1 i te 4, ka 3.

$$\frac{\frac{3}{12}}{\frac{1}{8}-\frac{1}{2}}$$

Whakahekea te hautanga \frac{3}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{1}{4}}{\frac{1}{8}-\frac{1}{2}}$$

Ko te maha noa iti rawa atu o 8 me 2 ko 8. Me tahuri \frac{1}{8} me \frac{1}{2} ki te hautau me te tautūnga 8.

$$\frac{\frac{1}{4}}{\frac{1}{8}-\frac{4}{8}}$$

Tā te mea he rite te tauraro o \frac{1}{8} me \frac{4}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{1}{4}}{\frac{1-4}{8}}$$

Tangohia te 4 i te 1, ka -3.

$$\frac{\frac{1}{4}}{-\frac{3}{8}}$$

Whakawehe \frac{1}{4} ki te -\frac{3}{8} mā te whakarea \frac{1}{4} ki te tau huripoki o -\frac{3}{8}.

$$\frac{1}{4}\left(-\frac{8}{3}\right)$$

Me whakarea te \frac{1}{4} ki te -\frac{8}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\left(-8\right)}{4\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-8\right)}{4\times 3}.

$$\frac{-8}{12}$$

Whakahekea te hautanga \frac{-8}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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

Tauwehe

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