Whakaoti i te 100*10^3-0.5176*14.3*500*465/frac{100*10^3*285-0.43*14.3*500*465^2{(0.8-0.5176)*(465-35)}+14.3*500*465}

$$\frac { 100 \times 10 ^ { 3 } - 0.5176 \times 14.3 \times 500 \times 465 } { \frac { 100 \times 10 ^ { 3 } \times 285 - 0.43 \times 14.3 \times 500 \times 465 ^ { 2 } } { ( 0.8 - 0.5176 ) \times ( 465 - 35 ) } + 14.3 \times 500 \times 465 }$$

Aromātai

$$\frac{246034984174}{290690900625}\approx 0.846380068$$

Ngā Upane Otinga

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$\frac{100\times 1000-0.5176\times 14.3\times 500\times 465}{\frac{100\times 10^{3}\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 100 ki te 1000, ka 100000.

$$\frac{100000-0.5176\times 14.3\times 500\times 465}{\frac{100\times 10^{3}\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 0.5176 ki te 14.3, ka 7.40168.

$$\frac{100000-7.40168\times 500\times 465}{\frac{100\times 10^{3}\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 7.40168 ki te 500, ka 3700.84.

$$\frac{100000-3700.84\times 465}{\frac{100\times 10^{3}\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 3700.84 ki te 465, ka 1720890.6.

$$\frac{100000-1720890.6}{\frac{100\times 10^{3}\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Tangohia te 1720890.6 i te 100000, ka -1620890.6.

$$\frac{-1620890.6}{\frac{100\times 10^{3}\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$\frac{-1620890.6}{\frac{100\times 1000\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 100 ki te 1000, ka 100000.

$$\frac{-1620890.6}{\frac{100000\times 285-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 100000 ki te 285, ka 28500000.

$$\frac{-1620890.6}{\frac{28500000-0.43\times 14.3\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 0.43 ki te 14.3, ka 6.149.

$$\frac{-1620890.6}{\frac{28500000-6.149\times 500\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 6.149 ki te 500, ka 3074.5.

$$\frac{-1620890.6}{\frac{28500000-3074.5\times 465^{2}}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Tātaihia te 465 mā te pū o 2, kia riro ko 216225.

$$\frac{-1620890.6}{\frac{28500000-3074.5\times 216225}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Whakareatia te 3074.5 ki te 216225, ka 664783762.5.

$$\frac{-1620890.6}{\frac{28500000-664783762.5}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Tangohia te 664783762.5 i te 28500000, ka -636283762.5.

$$\frac{-1620890.6}{\frac{-636283762.5}{\left(0.8-0.5176\right)\left(465-35\right)}+14.3\times 500\times 465}$$

Tangohia te 0.5176 i te 0.8, ka 0.2824.

$$\frac{-1620890.6}{\frac{-636283762.5}{0.2824\left(465-35\right)}+14.3\times 500\times 465}$$

Tangohia te 35 i te 465, ka 430.

$$\frac{-1620890.6}{\frac{-636283762.5}{0.2824\times 430}+14.3\times 500\times 465}$$

Whakareatia te 0.2824 ki te 430, ka 121.432.

$$\frac{-1620890.6}{\frac{-636283762.5}{121.432}+14.3\times 500\times 465}$$

Whakarohaina te \frac{-636283762.5}{121.432} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$\frac{-1620890.6}{\frac{-636283762500}{121432}+14.3\times 500\times 465}$$

Whakahekea te hautanga \frac{-636283762500}{121432} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{-1620890.6}{-\frac{159070940625}{30358}+14.3\times 500\times 465}$$

Whakareatia te 14.3 ki te 500, ka 7150.

$$\frac{-1620890.6}{-\frac{159070940625}{30358}+7150\times 465}$$

Whakareatia te 7150 ki te 465, ka 3324750.

$$\frac{-1620890.6}{-\frac{159070940625}{30358}+3324750}$$

Me tahuri te 3324750 ki te hautau \frac{100932760500}{30358}.

$$\frac{-1620890.6}{-\frac{159070940625}{30358}+\frac{100932760500}{30358}}$$

Tā te mea he rite te tauraro o -\frac{159070940625}{30358} me \frac{100932760500}{30358}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-1620890.6}{\frac{-159070940625+100932760500}{30358}}$$

Tāpirihia te -159070940625 ki te 100932760500, ka -58138180125.

$$\frac{-1620890.6}{-\frac{58138180125}{30358}}$$

Whakawehe -1620890.6 ki te -\frac{58138180125}{30358} mā te whakarea -1620890.6 ki te tau huripoki o -\frac{58138180125}{30358}.

$$-1620890.6\left(-\frac{30358}{58138180125}\right)$$

Me tahuri ki tau ā-ira -1620890.6 ki te hautau -\frac{16208906}{10}. Whakahekea te hautanga -\frac{16208906}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{8104453}{5}\left(-\frac{30358}{58138180125}\right)$$

Me whakarea te -\frac{8104453}{5} ki te -\frac{30358}{58138180125} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-8104453\left(-30358\right)}{5\times 58138180125}$$

Mahia ngā whakarea i roto i te hautanga \frac{-8104453\left(-30358\right)}{5\times 58138180125}.

$$\frac{246034984174}{290690900625}$$

Tauwehe

$$\frac{2 \cdot 43 \cdot 353 \cdot 165397 \cdot 7 ^ {2}}{3 \cdot 155035147 \cdot 5 ^ {4}} = 0.8463800677799423$$