Whakaoti i te (15-(20*8.5div28.5*15div20))*2.5*6/8.5

$$(15-(20 \times 8.5 \div 28.5 \times 15 \div 20)) \times \frac{ 2.5 \times 6 }{ 8.5 }$$

Aromātai

$$\frac{6000}{323}\approx 18.575851393$$

Ngā Upane Otinga

Whakareatia te 20 ki te 8.5, ka 170.

$$\left(15-\frac{\frac{170}{28.5}\times 15}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Whakarohaina te \frac{170}{28.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\left(15-\frac{\frac{1700}{285}\times 15}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Whakahekea te hautanga \frac{1700}{285} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\left(15-\frac{\frac{340}{57}\times 15}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Tuhia te \frac{340}{57}\times 15 hei hautanga kotahi.

$$\left(15-\frac{\frac{340\times 15}{57}}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Whakareatia te 340 ki te 15, ka 5100.

$$\left(15-\frac{\frac{5100}{57}}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Whakahekea te hautanga \frac{5100}{57} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\left(15-\frac{\frac{1700}{19}}{20}\right)\times \frac{2.5\times 6}{8.5}$$

Tuhia te \frac{\frac{1700}{19}}{20} hei hautanga kotahi.

$$\left(15-\frac{1700}{19\times 20}\right)\times \frac{2.5\times 6}{8.5}$$

Whakareatia te 19 ki te 20, ka 380.

$$\left(15-\frac{1700}{380}\right)\times \frac{2.5\times 6}{8.5}$$

Whakahekea te hautanga \frac{1700}{380} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$\left(15-\frac{85}{19}\right)\times \frac{2.5\times 6}{8.5}$$

Me tahuri te 15 ki te hautau \frac{285}{19}.

$$\left(\frac{285}{19}-\frac{85}{19}\right)\times \frac{2.5\times 6}{8.5}$$

Tā te mea he rite te tauraro o \frac{285}{19} me \frac{85}{19}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{285-85}{19}\times \frac{2.5\times 6}{8.5}$$

Tangohia te 85 i te 285, ka 200.

$$\frac{200}{19}\times \frac{2.5\times 6}{8.5}$$

Whakareatia te 2.5 ki te 6, ka 15.

$$\frac{200}{19}\times \frac{15}{8.5}$$

Whakarohaina te \frac{15}{8.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{200}{19}\times \frac{150}{85}$$

Whakahekea te hautanga \frac{150}{85} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{200}{19}\times \frac{30}{17}$$

Me whakarea te \frac{200}{19} ki te \frac{30}{17} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{200\times 30}{19\times 17}$$

Mahia ngā whakarea i roto i te hautanga \frac{200\times 30}{19\times 17}.

$$\frac{6000}{323}$$

Tauwehe

$$\frac{3 \cdot 2 ^ {4} \cdot 5 ^ {3}}{17 \cdot 19} = 18\frac{186}{323} = 18.575851393188856$$