Whakaoti i te (4)(-7/8)div(13/4-7/8-7/12)

$$( 4 ) ( - \frac { 7 } { 8 } ) \div ( 1 \frac { 3 } { 4 } - \frac { 7 } { 8 } - \frac { 7 } { 12 } )$$

Aromātai

$$-12$$

Ngā Upane Otinga

Tuhia te 4\left(-\frac{7}{8}\right) hei hautanga kotahi.

$$\frac{\frac{4\left(-7\right)}{8}}{\frac{1\times 4+3}{4}-\frac{7}{8}-\frac{7}{12}}$$

Whakareatia te 4 ki te -7, ka -28.

$$\frac{\frac{-28}{8}}{\frac{1\times 4+3}{4}-\frac{7}{8}-\frac{7}{12}}$$

Whakahekea te hautanga \frac{-28}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{-\frac{7}{2}}{\frac{1\times 4+3}{4}-\frac{7}{8}-\frac{7}{12}}$$

Whakareatia te 1 ki te 4, ka 4.

$$\frac{-\frac{7}{2}}{\frac{4+3}{4}-\frac{7}{8}-\frac{7}{12}}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{-\frac{7}{2}}{\frac{7}{4}-\frac{7}{8}-\frac{7}{12}}$$

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

$$\frac{-\frac{7}{2}}{\frac{14}{8}-\frac{7}{8}-\frac{7}{12}}$$

Tā te mea he rite te tauraro o \frac{14}{8} me \frac{7}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-\frac{7}{2}}{\frac{14-7}{8}-\frac{7}{12}}$$

Tangohia te 7 i te 14, ka 7.

$$\frac{-\frac{7}{2}}{\frac{7}{8}-\frac{7}{12}}$$

Ko te maha noa iti rawa atu o 8 me 12 ko 24. Me tahuri \frac{7}{8} me \frac{7}{12} ki te hautau me te tautūnga 24.

$$\frac{-\frac{7}{2}}{\frac{21}{24}-\frac{14}{24}}$$

Tā te mea he rite te tauraro o \frac{21}{24} me \frac{14}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-\frac{7}{2}}{\frac{21-14}{24}}$$

Tangohia te 14 i te 21, ka 7.

$$\frac{-\frac{7}{2}}{\frac{7}{24}}$$

Whakawehe -\frac{7}{2} ki te \frac{7}{24} mā te whakarea -\frac{7}{2} ki te tau huripoki o \frac{7}{24}.

$$-\frac{7}{2}\times \frac{24}{7}$$

Me whakarea te -\frac{7}{2} ki te \frac{24}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-7\times 24}{2\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{-7\times 24}{2\times 7}.

$$\frac{-168}{14}$$

Whakawehea te -168 ki te 14, kia riro ko -12.

$$-12$$

Tauwehe

$$-12$$