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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Esprimi \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} bħala frazzjoni waħda.

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

Ikkonverti n-numru deċimali 1.67 fi frazzjoni \frac{167}{100}.

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

L-inqas multipli komuni ta' 100 u 30 huwa 300. Ikkonverti \frac{167}{100} u \frac{11}{30} fi frazzjonijiet bid-denominatur 300.

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

Billi \frac{501}{300} u \frac{110}{300} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 501 u 110 biex tikseb 611.

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

Ikkonverti n-numru deċimali 1.8 fi frazzjoni \frac{18}{10}. Naqqas il-frazzjoni \frac{18}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

L-inqas multipli komuni ta' 300 u 5 huwa 300. Ikkonverti \frac{611}{300} u \frac{9}{5} fi frazzjonijiet bid-denominatur 300.

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

Billi \frac{611}{300} u \frac{540}{300} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Naqqas 540 minn 611 biex tikseb 71.

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

Naqqas 0.77083 minn 1.083 biex tikseb 0.31217.

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

Esprimi \frac{\frac{71}{300}}{0.31217} bħala frazzjoni waħda.

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

Immultiplika 300 u 0.31217 biex tikseb 93.651.

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

Espandi \frac{71}{93.651} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'1000.

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

Żid 0.816 u 0.583 biex tikseb 1.399.

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

Naqqas 0.148 minn 0.2814 biex tikseb 0.1334.

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

Ikkonverti n-numru deċimali 0.1334 fi frazzjoni \frac{1334}{10000}. Naqqas il-frazzjoni \frac{1334}{10000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

L-inqas multipli komuni ta' 5000 u 15 huwa 15000. Ikkonverti \frac{667}{5000} u \frac{8}{15} fi frazzjonijiet bid-denominatur 15000.

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

Billi \frac{2001}{15000} u \frac{8000}{15000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 2001 u 8000 biex tikseb 10001.

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

Ikkonverti n-numru deċimali 1.399 fi frazzjoni \frac{1399}{1000}.

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

Immultiplika \frac{1399}{1000} b'\frac{10001}{15000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1399\times 10001}{1000\times 15000}.

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

Ikkonverti n-numru deċimali 0.26 fi frazzjoni \frac{26}{100}. Naqqas il-frazzjoni \frac{26}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

Immultiplika \frac{13991399}{15000000} b'\frac{13}{50} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{13991399\times 13}{15000000\times 50}.

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

Iddividi \frac{71000}{93651} b'\frac{181888187}{750000000} billi timmultiplika \frac{71000}{93651} bir-reċiproku ta' \frac{181888187}{750000000}.

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

Immultiplika \frac{71000}{93651} b'\frac{750000000}{181888187} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{71000\times 750000000}{93651\times 181888187}.

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

Naqqas il-frazzjoni \frac{53250000000000}{17034010600737} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

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

Fattur

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