Whakaoti i te (7/4-5/12+5/6-1/3)*(-36)

$$( \frac { 7 } { 4 } - \frac { 5 } { 12 } + \frac { 5 } { 6 } - \frac { 1 } { 3 } ) \times ( - 36 )$$

Aromātai

$$-66$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 12 ko 12. Me tahuri \frac{7}{4} me \frac{5}{12} ki te hautau me te tautūnga 12.

$$\left(\frac{21}{12}-\frac{5}{12}+\frac{5}{6}-\frac{1}{3}\right)\left(-36\right)$$

Tā te mea he rite te tauraro o \frac{21}{12} me \frac{5}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{21-5}{12}+\frac{5}{6}-\frac{1}{3}\right)\left(-36\right)$$

Tangohia te 5 i te 21, ka 16.

$$\left(\frac{16}{12}+\frac{5}{6}-\frac{1}{3}\right)\left(-36\right)$$

Whakahekea te hautanga \frac{16}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\left(\frac{4}{3}+\frac{5}{6}-\frac{1}{3}\right)\left(-36\right)$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{4}{3} me \frac{5}{6} ki te hautau me te tautūnga 6.

$$\left(\frac{8}{6}+\frac{5}{6}-\frac{1}{3}\right)\left(-36\right)$$

Tā te mea he rite te tauraro o \frac{8}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\left(\frac{8+5}{6}-\frac{1}{3}\right)\left(-36\right)$$

Tāpirihia te 8 ki te 5, ka 13.

$$\left(\frac{13}{6}-\frac{1}{3}\right)\left(-36\right)$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{13}{6} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$\left(\frac{13}{6}-\frac{2}{6}\right)\left(-36\right)$$

Tā te mea he rite te tauraro o \frac{13}{6} me \frac{2}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{13-2}{6}\left(-36\right)$$

Tangohia te 2 i te 13, ka 11.

$$\frac{11}{6}\left(-36\right)$$

Tuhia te \frac{11}{6}\left(-36\right) hei hautanga kotahi.

$$\frac{11\left(-36\right)}{6}$$

Whakareatia te 11 ki te -36, ka -396.

$$\frac{-396}{6}$$

Whakawehea te -396 ki te 6, kia riro ko -66.

$$-66$$

Tauwehe

$$-66$$