Whakaoti i te 1+4/5(-5/2)+2div3/2-2(1/3-frac{3}{4})

$$1+ \frac{ 4 }{ 5 } (- \frac{ 5 }{ 2 } )+2 \div \frac{ 3 }{ 2 } -2( \frac{ 1 }{ 3 } - \frac{ 3 }{ 4 } )$$

Aromātai

$$\frac{7}{6}\approx 1.166666667$$

Ngā Upane Otinga

Me whakarea te \frac{4}{5} ki te -\frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-5\right)}{5\times 2}.

$$1+\frac{-20}{10}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Whakawehea te -20 ki te 10, kia riro ko -2.

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

Tangohia te 2 i te 1, ka -1.

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

Whakawehe 2 ki te \frac{3}{2} mā te whakarea 2 ki te tau huripoki o \frac{3}{2}.

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

Tuhia te 2\times \frac{2}{3} hei hautanga kotahi.

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

Whakareatia te 2 ki te 2, ka 4.

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

Me tahuri te -1 ki te hautau -\frac{3}{3}.

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

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

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

Tāpirihia te -3 ki te 4, ka 1.

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

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{1}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$\frac{1}{3}-2\left(\frac{4}{12}-\frac{9}{12}\right)$$

Tā te mea he rite te tauraro o \frac{4}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{3}-2\times \frac{4-9}{12}$$

Tangohia te 9 i te 4, ka -5.

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

Tuhia te 2\left(-\frac{5}{12}\right) hei hautanga kotahi.

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

Whakareatia te 2 ki te -5, ka -10.

$$\frac{1}{3}-\frac{-10}{12}$$

Whakahekea te hautanga \frac{-10}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{3}-\left(-\frac{5}{6}\right)$$

Ko te tauaro o -\frac{5}{6} ko \frac{5}{6}.

$$\frac{1}{3}+\frac{5}{6}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{1}{3} me \frac{5}{6} ki te hautau me te tautūnga 6.

$$\frac{2}{6}+\frac{5}{6}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2+5}{6}$$

Tāpirihia te 2 ki te 5, ka 7.

$$\frac{7}{6}$$

Tauwehe

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$