Whakaoti i te 22/3+(-8/9)*(-13/5)

$$2 \frac { 2 } { 3 } + ( - \frac { 8 } { 9 } ) \times ( - 1 \frac { 3 } { 5 } )$$

Aromātai

$$\frac{184}{45}\approx 4.088888889$$

Ngā Upane Otinga

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6+2}{3}-\frac{8}{9}\left(-\frac{5+3}{5}\right)$$

Tāpirihia te 6 ki te 2, ka 8.

$$\frac{8}{3}-\frac{8}{9}\left(-\frac{5+3}{5}\right)$$

Tāpirihia te 5 ki te 3, ka 8.

$$\frac{8}{3}-\frac{8}{9}\left(-\frac{8}{5}\right)$$

Me whakarea te -\frac{8}{9} ki te -\frac{8}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8}{3}+\frac{-8\left(-8\right)}{9\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{-8\left(-8\right)}{9\times 5}.

$$\frac{8}{3}+\frac{64}{45}$$

Ko te maha noa iti rawa atu o 3 me 45 ko 45. Me tahuri \frac{8}{3} me \frac{64}{45} ki te hautau me te tautūnga 45.

$$\frac{120}{45}+\frac{64}{45}$$

Tā te mea he rite te tauraro o \frac{120}{45} me \frac{64}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{120+64}{45}$$

Tāpirihia te 120 ki te 64, ka 184.

$$\frac{184}{45}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 23}{3 ^ {2} \cdot 5} = 4\frac{4}{45} = 4.088888888888889$$