Whakaoti i te -2/12+8/12--9/12(-15/12+frac{27}{12})

$$- \frac{ 2 }{ 12 } + \frac{ 8 }{ 12 } -- \frac{ 9 }{ 12 } ( \frac{ -15 }{ 12 } + \frac{ 27 }{ 12 } )$$

Aromātai

$$\frac{5}{4}=1.25$$

Ngā Upane Otinga

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

$$-\frac{1}{6}+\frac{8}{12}-\left(-\frac{9}{12}\right)\left(\frac{-15}{12}+\frac{27}{12}\right)$$

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

$$-\frac{1}{6}+\frac{2}{3}-\left(-\frac{9}{12}\right)\left(\frac{-15}{12}+\frac{27}{12}\right)$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri -\frac{1}{6} me \frac{2}{3} ki te hautau me te tautūnga 6.

$$-\frac{1}{6}+\frac{4}{6}-\left(-\frac{9}{12}\right)\left(\frac{-15}{12}+\frac{27}{12}\right)$$

Tā te mea he rite te tauraro o -\frac{1}{6} me \frac{4}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-1+4}{6}-\left(-\frac{9}{12}\right)\left(\frac{-15}{12}+\frac{27}{12}\right)$$

Tāpirihia te -1 ki te 4, ka 3.

$$\frac{3}{6}-\left(-\frac{9}{12}\right)\left(\frac{-15}{12}+\frac{27}{12}\right)$$

Whakahekea te hautanga \frac{3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{2}-\left(-\frac{9}{12}\right)\left(\frac{-15}{12}+\frac{27}{12}\right)$$

Whakahekea te hautanga \frac{9}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{2}-\left(-\frac{3}{4}\left(\frac{-15}{12}+\frac{27}{12}\right)\right)$$

Whakahekea te hautanga \frac{-15}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{2}-\left(-\frac{3}{4}\left(-\frac{5}{4}+\frac{27}{12}\right)\right)$$

Whakahekea te hautanga \frac{27}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{1}{2}-\left(-\frac{3}{4}\left(-\frac{5}{4}+\frac{9}{4}\right)\right)$$

Tā te mea he rite te tauraro o -\frac{5}{4} me \frac{9}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2}-\left(-\frac{3}{4}\times \frac{-5+9}{4}\right)$$

Tāpirihia te -5 ki te 9, ka 4.

$$\frac{1}{2}-\left(-\frac{3}{4}\times \frac{4}{4}\right)$$

Whakawehea te 4 ki te 4, kia riro ko 1.

$$\frac{1}{2}-\left(-\frac{3}{4}\right)$$

Ko te tauaro o -\frac{3}{4} ko \frac{3}{4}.

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

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{1}{2} me \frac{3}{4} ki te hautau me te tautūnga 4.

$$\frac{2}{4}+\frac{3}{4}$$

Tā te mea he rite te tauraro o \frac{2}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2+3}{4}$$

Tāpirihia te 2 ki te 3, ka 5.

$$\frac{5}{4}$$

Tauwehe

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$