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

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

Luacháil

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

Céimeanna Réitigh

Scríobh \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} mar chodán aonair.

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

Coinbhéartaigh an uimhir dheachúil 1.67 i gcodán \frac{167}{100}.

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

Is é an t-iolrach is lú coitianta de 100 agus 30 ná 300. Coinbhéartaigh \frac{167}{100} agus \frac{11}{30} chuig codáin a bhfuil an t-ainmneoir 300 acu.

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

Tá an t-ainmneoir céanna ag \frac{501}{300} agus \frac{110}{300} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

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

Suimigh 501 agus 110 chun 611 a fháil.

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

Coinbhéartaigh an uimhir dheachúil 1.8 i gcodán \frac{18}{10}. Laghdaigh an codán \frac{18}{10} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

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

Is é an t-iolrach is lú coitianta de 300 agus 5 ná 300. Coinbhéartaigh \frac{611}{300} agus \frac{9}{5} chuig codáin a bhfuil an t-ainmneoir 300 acu.

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

Tá an t-ainmneoir céanna ag \frac{611}{300} agus \frac{540}{300} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

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

Dealaigh 540 ó 611 chun 71 a fháil.

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

Dealaigh 0.77083 ó 1.083 chun 0.31217 a fháil.

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

Scríobh \frac{\frac{71}{300}}{0.31217} mar chodán aonair.

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

Méadaigh 300 agus 0.31217 chun 93.651 a fháil.

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

Fairsingigh \frac{71}{93.651} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 1000.

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

Suimigh 0.816 agus 0.583 chun 1.399 a fháil.

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

Dealaigh 0.148 ó 0.2814 chun 0.1334 a fháil.

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

Coinbhéartaigh an uimhir dheachúil 0.1334 i gcodán \frac{1334}{10000}. Laghdaigh an codán \frac{1334}{10000} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

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

Is é an t-iolrach is lú coitianta de 5000 agus 15 ná 15000. Coinbhéartaigh \frac{667}{5000} agus \frac{8}{15} chuig codáin a bhfuil an t-ainmneoir 15000 acu.

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

Tá an t-ainmneoir céanna ag \frac{2001}{15000} agus \frac{8000}{15000} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

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

Suimigh 2001 agus 8000 chun 10001 a fháil.

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

Coinbhéartaigh an uimhir dheachúil 1.399 i gcodán \frac{1399}{1000}.

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

Méadaigh \frac{1399}{1000} faoi \frac{10001}{15000} tríd an uimhreoir a mhéadú faoin uimhreoir agus an t-ainmneoir a mhéadú faoin ainmneoir.

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

Déan na hiolrúcháin sa chodán \frac{1399\times 10001}{1000\times 15000}.

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

Coinbhéartaigh an uimhir dheachúil 0.26 i gcodán \frac{26}{100}. Laghdaigh an codán \frac{26}{100} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

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

Méadaigh \frac{13991399}{15000000} faoi \frac{13}{50} tríd an uimhreoir a mhéadú faoin uimhreoir agus an t-ainmneoir a mhéadú faoin ainmneoir.

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

Déan na hiolrúcháin sa chodán \frac{13991399\times 13}{15000000\times 50}.

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

Roinn \frac{71000}{93651} faoi \frac{181888187}{750000000} trí \frac{71000}{93651} a mhéadú faoi dheilín \frac{181888187}{750000000}.

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

Méadaigh \frac{71000}{93651} faoi \frac{750000000}{181888187} tríd an uimhreoir a mhéadú faoin uimhreoir agus an t-ainmneoir a mhéadú faoin ainmneoir.

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

Déan na hiolrúcháin sa chodán \frac{71000\times 750000000}{93651\times 181888187}.

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

Laghdaigh an codán \frac{53250000000000}{17034010600737} chuig na téarmaí is ísle trí 3 a bhaint agus a chealú.

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

Fachtóirigh

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