Whakaoti i te (-13/4+7/8-7/12)*(-11/7)

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

Aromātai

$$\frac{5}{3}\approx 1.666666667$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

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

Tāpirihia te 4 ki te 3, ka 7.

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

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.

$$\left(-\frac{14}{8}+\frac{7}{8}-\frac{7}{12}\right)\left(-\frac{1\times 7+1}{7}\right)$$

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

$$\left(\frac{-14+7}{8}-\frac{7}{12}\right)\left(-\frac{1\times 7+1}{7}\right)$$

Tāpirihia te -14 ki te 7, ka -7.

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

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.

$$\left(-\frac{21}{24}-\frac{14}{24}\right)\left(-\frac{1\times 7+1}{7}\right)$$

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.

$$\frac{-21-14}{24}\left(-\frac{1\times 7+1}{7}\right)$$

Tangohia te 14 i te -21, ka -35.

$$-\frac{35}{24}\left(-\frac{7+1}{7}\right)$$

Tāpirihia te 7 ki te 1, ka 8.

$$-\frac{35}{24}\left(-\frac{8}{7}\right)$$

Me whakarea te -\frac{35}{24} ki te -\frac{8}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-35\left(-8\right)}{24\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{-35\left(-8\right)}{24\times 7}.

$$\frac{280}{168}$$

Whakahekea te hautanga \frac{280}{168} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 56.

$$\frac{5}{3}$$

Tauwehe

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$