Whakaoti i te 65*1/27+70*2/9+75*4/9+80*8/27

$$65 \times \frac{ 1 }{ 27 } +70 \times \frac{ 2 }{ 9 } +75 \times \frac{ 4 }{ 9 } +80 \times \frac{ 8 }{ 27 }$$

Aromātai

$$75$$

Ngā Upane Otinga

Whakareatia te 65 ki te \frac{1}{27}, ka \frac{65}{27}.

$$\frac{65}{27}+70\times \frac{2}{9}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

Tuhia te 70\times \frac{2}{9} hei hautanga kotahi.

$$\frac{65}{27}+\frac{70\times 2}{9}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

Whakareatia te 70 ki te 2, ka 140.

$$\frac{65}{27}+\frac{140}{9}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

Ko te maha noa iti rawa atu o 27 me 9 ko 27. Me tahuri \frac{65}{27} me \frac{140}{9} ki te hautau me te tautūnga 27.

$$\frac{65}{27}+\frac{420}{27}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

Tā te mea he rite te tauraro o \frac{65}{27} me \frac{420}{27}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{65+420}{27}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

Tāpirihia te 65 ki te 420, ka 485.

$$\frac{485}{27}+75\times \frac{4}{9}+80\times \frac{8}{27}$$

Tuhia te 75\times \frac{4}{9} hei hautanga kotahi.

$$\frac{485}{27}+\frac{75\times 4}{9}+80\times \frac{8}{27}$$

Whakareatia te 75 ki te 4, ka 300.

$$\frac{485}{27}+\frac{300}{9}+80\times \frac{8}{27}$$

Whakahekea te hautanga \frac{300}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{485}{27}+\frac{100}{3}+80\times \frac{8}{27}$$

Ko te maha noa iti rawa atu o 27 me 3 ko 27. Me tahuri \frac{485}{27} me \frac{100}{3} ki te hautau me te tautūnga 27.

$$\frac{485}{27}+\frac{900}{27}+80\times \frac{8}{27}$$

Tā te mea he rite te tauraro o \frac{485}{27} me \frac{900}{27}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{485+900}{27}+80\times \frac{8}{27}$$

Tāpirihia te 485 ki te 900, ka 1385.

$$\frac{1385}{27}+80\times \frac{8}{27}$$

Tuhia te 80\times \frac{8}{27} hei hautanga kotahi.

$$\frac{1385}{27}+\frac{80\times 8}{27}$$

Whakareatia te 80 ki te 8, ka 640.

$$\frac{1385}{27}+\frac{640}{27}$$

Tā te mea he rite te tauraro o \frac{1385}{27} me \frac{640}{27}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1385+640}{27}$$

Tāpirihia te 1385 ki te 640, ka 2025.

$$\frac{2025}{27}$$

Whakawehea te 2025 ki te 27, kia riro ko 75.

$$75$$

Tauwehe

$$3\times 5^{2}$$