Whakaoti i te 500*6.6/3*10.56*(2.5div0.93-1)+0.1*10.56*10.56

$$500 \times \frac{ 6.6 }{ 3 \times 10.56 } \times (2.5 \div 0.93-1)+0.1 \times 10.56 \times 10.56$$

Aromātai

$$\frac{326085809}{1743750}\approx 187.00261448$$

Ngā Upane Otinga

Whakareatia te 3 ki te 10.56, ka 31.68.

$$500\times \frac{6.6}{31.68}\left(\frac{2.5}{0.93}-1\right)+0.1\times 10.56\times 10.56$$

Whakarohaina te \frac{6.6}{31.68} mā te whakarea i te taurunga me te tauraro ki te 100.

$$500\times \frac{660}{3168}\left(\frac{2.5}{0.93}-1\right)+0.1\times 10.56\times 10.56$$

Whakahekea te hautanga \frac{660}{3168} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 132.

$$500\times \frac{5}{24}\left(\frac{2.5}{0.93}-1\right)+0.1\times 10.56\times 10.56$$

Tuhia te 500\times \frac{5}{24} hei hautanga kotahi.

$$\frac{500\times 5}{24}\left(\frac{2.5}{0.93}-1\right)+0.1\times 10.56\times 10.56$$

Whakareatia te 500 ki te 5, ka 2500.

$$\frac{2500}{24}\left(\frac{2.5}{0.93}-1\right)+0.1\times 10.56\times 10.56$$

Whakahekea te hautanga \frac{2500}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{625}{6}\left(\frac{2.5}{0.93}-1\right)+0.1\times 10.56\times 10.56$$

Whakarohaina te \frac{2.5}{0.93} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{625}{6}\left(\frac{250}{93}-1\right)+0.1\times 10.56\times 10.56$$

Me tahuri te 1 ki te hautau \frac{93}{93}.

$$\frac{625}{6}\left(\frac{250}{93}-\frac{93}{93}\right)+0.1\times 10.56\times 10.56$$

Tā te mea he rite te tauraro o \frac{250}{93} me \frac{93}{93}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{625}{6}\times \frac{250-93}{93}+0.1\times 10.56\times 10.56$$

Tangohia te 93 i te 250, ka 157.

$$\frac{625}{6}\times \frac{157}{93}+0.1\times 10.56\times 10.56$$

Me whakarea te \frac{625}{6} ki te \frac{157}{93} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{625\times 157}{6\times 93}+0.1\times 10.56\times 10.56$$

Mahia ngā whakarea i roto i te hautanga \frac{625\times 157}{6\times 93}.

$$\frac{98125}{558}+0.1\times 10.56\times 10.56$$

Whakareatia te 0.1 ki te 10.56, ka 1.056.

$$\frac{98125}{558}+1.056\times 10.56$$

Whakareatia te 1.056 ki te 10.56, ka 11.15136.

$$\frac{98125}{558}+11.15136$$

Me tahuri ki tau ā-ira 11.15136 ki te hautau \frac{1115136}{100000}. Whakahekea te hautanga \frac{1115136}{100000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 32.

$$\frac{98125}{558}+\frac{34848}{3125}$$

Ko te maha noa iti rawa atu o 558 me 3125 ko 1743750. Me tahuri \frac{98125}{558} me \frac{34848}{3125} ki te hautau me te tautūnga 1743750.

$$\frac{306640625}{1743750}+\frac{19445184}{1743750}$$

Tā te mea he rite te tauraro o \frac{306640625}{1743750} me \frac{19445184}{1743750}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{306640625+19445184}{1743750}$$

Tāpirihia te 306640625 ki te 19445184, ka 326085809.

$$\frac{326085809}{1743750}$$

Tauwehe

$$\frac{7 \cdot 19 \cdot 61 \cdot 40193}{2 \cdot 31 \cdot 3 ^ {2} \cdot 5 ^ {5}} = 187\frac{4559}{1743750} = 187.00261448028675$$