Whakaoti i te -1^4*(-1/2)^2+[3/4+(-1/2)-7/8]div(-frac{7}{8})

$$- 1 ^ { 4 } \times ( - \frac { 1 } { 2 } ) ^ { 2 } + [ \frac { 3 } { 4 } + ( - \frac { 1 } { 2 } ) - \frac { 7 } { 8 } ] \div ( - \frac { 7 } { 8 } )$$

Aromātai

$$\frac{13}{28}\approx 0.464285714$$

Ngā Upane Otinga

Tātaihia te 1 mā te pū o 4, kia riro ko 1.

$$-\left(-\frac{1}{2}\right)^{2}+\frac{\frac{3}{4}-\frac{1}{2}-\frac{7}{8}}{-\frac{7}{8}}$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$-\frac{1}{4}+\frac{\frac{3}{4}-\frac{1}{2}-\frac{7}{8}}{-\frac{7}{8}}$$

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

$$-\frac{1}{4}+\frac{\frac{3}{4}-\frac{2}{4}-\frac{7}{8}}{-\frac{7}{8}}$$

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

$$-\frac{1}{4}+\frac{\frac{3-2}{4}-\frac{7}{8}}{-\frac{7}{8}}$$

Tangohia te 2 i te 3, ka 1.

$$-\frac{1}{4}+\frac{\frac{1}{4}-\frac{7}{8}}{-\frac{7}{8}}$$

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{1}{4} me \frac{7}{8} ki te hautau me te tautūnga 8.

$$-\frac{1}{4}+\frac{\frac{2}{8}-\frac{7}{8}}{-\frac{7}{8}}$$

Tā te mea he rite te tauraro o \frac{2}{8} me \frac{7}{8}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{1}{4}+\frac{\frac{2-7}{8}}{-\frac{7}{8}}$$

Tangohia te 7 i te 2, ka -5.

$$-\frac{1}{4}+\frac{-\frac{5}{8}}{-\frac{7}{8}}$$

Whakawehe -\frac{5}{8} ki te -\frac{7}{8} mā te whakarea -\frac{5}{8} ki te tau huripoki o -\frac{7}{8}.

$$-\frac{1}{4}-\frac{5}{8}\left(-\frac{8}{7}\right)$$

Me whakarea te -\frac{5}{8} ki te -\frac{8}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{1}{4}+\frac{-5\left(-8\right)}{8\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{-5\left(-8\right)}{8\times 7}.

$$-\frac{1}{4}+\frac{40}{56}$$

Whakahekea te hautanga \frac{40}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$-\frac{1}{4}+\frac{5}{7}$$

Ko te maha noa iti rawa atu o 4 me 7 ko 28. Me tahuri -\frac{1}{4} me \frac{5}{7} ki te hautau me te tautūnga 28.

$$-\frac{7}{28}+\frac{20}{28}$$

Tā te mea he rite te tauraro o -\frac{7}{28} me \frac{20}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-7+20}{28}$$

Tāpirihia te -7 ki te 20, ka 13.

$$\frac{13}{28}$$

Tauwehe

$$\frac{13}{2 ^ {2} \cdot 7} = 0.4642857142857143$$