Whakaoti i te 25*2/30+75*18/30+125*8/30+175*2/30=

$$25 \times \frac{ 2 }{ 30 } +75 \times \frac{ 18 }{ 30 } +125 \times \frac{ 8 }{ 30 } +175 \times \frac{ 2 }{ 30 } =$$

Aromātai

$$\frac{275}{3}\approx 91.666666667$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{2}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$25\times \frac{1}{15}+75\times \frac{18}{30}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Whakareatia te 25 ki te \frac{1}{15}, ka \frac{25}{15}.

$$\frac{25}{15}+75\times \frac{18}{30}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Whakahekea te hautanga \frac{25}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{5}{3}+75\times \frac{18}{30}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Whakahekea te hautanga \frac{18}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{5}{3}+75\times \frac{3}{5}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Tuhia te 75\times \frac{3}{5} hei hautanga kotahi.

$$\frac{5}{3}+\frac{75\times 3}{5}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Whakareatia te 75 ki te 3, ka 225.

$$\frac{5}{3}+\frac{225}{5}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Whakawehea te 225 ki te 5, kia riro ko 45.

$$\frac{5}{3}+45+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Me tahuri te 45 ki te hautau \frac{135}{3}.

$$\frac{5}{3}+\frac{135}{3}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Tā te mea he rite te tauraro o \frac{5}{3} me \frac{135}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+135}{3}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Tāpirihia te 5 ki te 135, ka 140.

$$\frac{140}{3}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Whakahekea te hautanga \frac{8}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{140}{3}+125\times \frac{4}{15}+175\times \frac{2}{30}$$

Tuhia te 125\times \frac{4}{15} hei hautanga kotahi.

$$\frac{140}{3}+\frac{125\times 4}{15}+175\times \frac{2}{30}$$

Whakareatia te 125 ki te 4, ka 500.

$$\frac{140}{3}+\frac{500}{15}+175\times \frac{2}{30}$$

Whakahekea te hautanga \frac{500}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{140}{3}+\frac{100}{3}+175\times \frac{2}{30}$$

Tā te mea he rite te tauraro o \frac{140}{3} me \frac{100}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{140+100}{3}+175\times \frac{2}{30}$$

Tāpirihia te 140 ki te 100, ka 240.

$$\frac{240}{3}+175\times \frac{2}{30}$$

Whakawehea te 240 ki te 3, kia riro ko 80.

$$80+175\times \frac{2}{30}$$

Whakahekea te hautanga \frac{2}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$80+175\times \frac{1}{15}$$

Whakareatia te 175 ki te \frac{1}{15}, ka \frac{175}{15}.

$$80+\frac{175}{15}$$

Whakahekea te hautanga \frac{175}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$80+\frac{35}{3}$$

Me tahuri te 80 ki te hautau \frac{240}{3}.

$$\frac{240}{3}+\frac{35}{3}$$

Tā te mea he rite te tauraro o \frac{240}{3} me \frac{35}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{240+35}{3}$$

Tāpirihia te 240 ki te 35, ka 275.

$$\frac{275}{3}$$

Tauwehe

$$\frac{5 ^ {2} \cdot 11}{3} = 91\frac{2}{3} = 91.66666666666667$$