Whakaoti i te (1.67+11/30-1.8):(1.083-0.77083)/(0.816+0.583)*(0.2814-0.148+frac{8{15})}:0.26

$$\frac { ( 1.67 + \frac { 11 } { 30 } - 1.8 ) : ( 1.083 - 0.77083 ) } { ( 0.816 + 0.583 ) \times ( 0.2814 - 0.148 + \frac { 8 } { 15 } ) } : 0.26$$

Aromātai

$$\frac{17750000000000}{5678003533579}\approx 3.126098794$$

Ngā Upane Otinga

Tuhia te \frac{\frac{\frac{1.67+\frac{11}{30}-1.8}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)}}{0.26} hei hautanga kotahi.

$$\frac{\frac{1.67+\frac{11}{30}-1.8}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Me tahuri ki tau ā-ira 1.67 ki te hautau \frac{167}{100}.

$$\frac{\frac{\frac{167}{100}+\frac{11}{30}-1.8}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Ko te maha noa iti rawa atu o 100 me 30 ko 300. Me tahuri \frac{167}{100} me \frac{11}{30} ki te hautau me te tautūnga 300.

$$\frac{\frac{\frac{501}{300}+\frac{110}{300}-1.8}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tā te mea he rite te tauraro o \frac{501}{300} me \frac{110}{300}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{\frac{501+110}{300}-1.8}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tāpirihia te 501 ki te 110, ka 611.

$$\frac{\frac{\frac{611}{300}-1.8}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Me tahuri ki tau ā-ira 1.8 ki te hautau \frac{18}{10}. Whakahekea te hautanga \frac{18}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{\frac{611}{300}-\frac{9}{5}}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Ko te maha noa iti rawa atu o 300 me 5 ko 300. Me tahuri \frac{611}{300} me \frac{9}{5} ki te hautau me te tautūnga 300.

$$\frac{\frac{\frac{611}{300}-\frac{540}{300}}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tā te mea he rite te tauraro o \frac{611}{300} me \frac{540}{300}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{\frac{611-540}{300}}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tangohia te 540 i te 611, ka 71.

$$\frac{\frac{\frac{71}{300}}{1.083-0.77083}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tangohia te 0.77083 i te 1.083, ka 0.31217.

$$\frac{\frac{\frac{71}{300}}{0.31217}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tuhia te \frac{\frac{71}{300}}{0.31217} hei hautanga kotahi.

$$\frac{\frac{71}{300\times 0.31217}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Whakareatia te 300 ki te 0.31217, ka 93.651.

$$\frac{\frac{71}{93.651}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Whakarohaina te \frac{71}{93.651} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$\frac{\frac{71000}{93651}}{\left(0.816+0.583\right)\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tāpirihia te 0.816 ki te 0.583, ka 1.399.

$$\frac{\frac{71000}{93651}}{1.399\left(0.2814-0.148+\frac{8}{15}\right)\times 0.26}$$

Tangohia te 0.148 i te 0.2814, ka 0.1334.

$$\frac{\frac{71000}{93651}}{1.399\left(0.1334+\frac{8}{15}\right)\times 0.26}$$

Me tahuri ki tau ā-ira 0.1334 ki te hautau \frac{1334}{10000}. Whakahekea te hautanga \frac{1334}{10000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{71000}{93651}}{1.399\left(\frac{667}{5000}+\frac{8}{15}\right)\times 0.26}$$

Ko te maha noa iti rawa atu o 5000 me 15 ko 15000. Me tahuri \frac{667}{5000} me \frac{8}{15} ki te hautau me te tautūnga 15000.

$$\frac{\frac{71000}{93651}}{1.399\left(\frac{2001}{15000}+\frac{8000}{15000}\right)\times 0.26}$$

Tā te mea he rite te tauraro o \frac{2001}{15000} me \frac{8000}{15000}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{71000}{93651}}{1.399\times \frac{2001+8000}{15000}\times 0.26}$$

Tāpirihia te 2001 ki te 8000, ka 10001.

$$\frac{\frac{71000}{93651}}{1.399\times \frac{10001}{15000}\times 0.26}$$

Me tahuri ki tau ā-ira 1.399 ki te hautau \frac{1399}{1000}.

$$\frac{\frac{71000}{93651}}{\frac{1399}{1000}\times \frac{10001}{15000}\times 0.26}$$

Me whakarea te \frac{1399}{1000} ki te \frac{10001}{15000} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{71000}{93651}}{\frac{1399\times 10001}{1000\times 15000}\times 0.26}$$

Mahia ngā whakarea i roto i te hautanga \frac{1399\times 10001}{1000\times 15000}.

$$\frac{\frac{71000}{93651}}{\frac{13991399}{15000000}\times 0.26}$$

Me tahuri ki tau ā-ira 0.26 ki te hautau \frac{26}{100}. Whakahekea te hautanga \frac{26}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{71000}{93651}}{\frac{13991399}{15000000}\times \frac{13}{50}}$$

Me whakarea te \frac{13991399}{15000000} ki te \frac{13}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{71000}{93651}}{\frac{13991399\times 13}{15000000\times 50}}$$

Mahia ngā whakarea i roto i te hautanga \frac{13991399\times 13}{15000000\times 50}.

$$\frac{\frac{71000}{93651}}{\frac{181888187}{750000000}}$$

Whakawehe \frac{71000}{93651} ki te \frac{181888187}{750000000} mā te whakarea \frac{71000}{93651} ki te tau huripoki o \frac{181888187}{750000000}.

$$\frac{71000}{93651}\times \frac{750000000}{181888187}$$

Me whakarea te \frac{71000}{93651} ki te \frac{750000000}{181888187} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{71000\times 750000000}{93651\times 181888187}$$

Mahia ngā whakarea i roto i te hautanga \frac{71000\times 750000000}{93651\times 181888187}.

$$\frac{53250000000000}{17034010600737}$$

Whakahekea te hautanga \frac{53250000000000}{17034010600737} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{17750000000000}{5678003533579}$$

Tauwehe

$$\frac{71 \cdot 2 ^ {10} \cdot 5 ^ {12}}{13 \cdot 19 \cdot 31 \cdot 53 \cdot 73 \cdot 137 \cdot 1399} = 3\frac{715989399263}{5678003533579} = 3.126098794237927$$