Issolvi {2-[(1+4/3):(14/8*2)]}:{[(2^3-3/5)-(13/2-frac{3}{4})]:[(frac{3}{2}):frac{1}{2}-frac{17}{5}]}

$$\{ 2 - [ ( 1 + \frac { 4 } { 3 } ) : ( \frac { 14 } { 8 } \cdot 2 ) ] \} : \{ [ ( 2 ^ { 3 } - \frac { 3 } { 5 } ) - ( \frac { 13 } { 2 } - \frac { 3 } { 4 } ) ] : [ ( \frac { 3 } { 2 } ) : \frac { 1 } { 2 } - \frac { 17 } { 5 } ] \}$$

Evalwa

$$-\frac{32}{99}\approx -0.323232323$$

Passi tas-Soluzzjonijiet

Ikkonverti 1 fi frazzjoni \frac{3}{3}.

$$\frac{2-\frac{\frac{3}{3}+\frac{4}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Billi \frac{3}{3} u \frac{4}{3} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{2-\frac{\frac{3+4}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Żid 3 u 4 biex tikseb 7.

$$\frac{2-\frac{\frac{7}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Naqqas il-frazzjoni \frac{14}{8} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7}{4}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Esprimi \frac{7}{4}\times 2 bħala frazzjoni waħda.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7\times 2}{4}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Immultiplika 7 u 2 biex tikseb 14.

$$\frac{2-\frac{\frac{7}{3}}{\frac{14}{4}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Naqqas il-frazzjoni \frac{14}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7}{2}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Iddividi \frac{7}{3} b'\frac{7}{2} billi timmultiplika \frac{7}{3} bir-reċiproku ta' \frac{7}{2}.

$$\frac{2-\frac{7}{3}\times \frac{2}{7}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Immultiplika \frac{7}{3} b'\frac{2}{7} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{2-\frac{7\times 2}{3\times 7}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Annulla 7 fin-numeratur u d-denominatur.

$$\frac{2-\frac{2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Ikkonverti 2 fi frazzjoni \frac{6}{3}.

$$\frac{\frac{6}{3}-\frac{2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Billi \frac{6}{3} u \frac{2}{3} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{6-2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Naqqas 2 minn 6 biex tikseb 4.

$$\frac{\frac{4}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Ikkalkula 2 bil-power ta' 3 u tikseb 8.

$$\frac{\frac{4}{3}}{\frac{8-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Ikkonverti 8 fi frazzjoni \frac{40}{5}.

$$\frac{\frac{4}{3}}{\frac{\frac{40}{5}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Billi \frac{40}{5} u \frac{3}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{4}{3}}{\frac{\frac{40-3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Naqqas 3 minn 40 biex tikseb 37.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

L-inqas multipli komuni ta' 2 u 4 huwa 4. Ikkonverti \frac{13}{2} u \frac{3}{4} fi frazzjonijiet bid-denominatur 4.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\left(\frac{26}{4}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Billi \frac{26}{4} u \frac{3}{4} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\frac{26-3}{4}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Naqqas 3 minn 26 biex tikseb 23.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\frac{23}{4}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

L-inqas multipli komuni ta' 5 u 4 huwa 20. Ikkonverti \frac{37}{5} u \frac{23}{4} fi frazzjonijiet bid-denominatur 20.

$$\frac{\frac{4}{3}}{\frac{\frac{148}{20}-\frac{115}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Billi \frac{148}{20} u \frac{115}{20} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{4}{3}}{\frac{\frac{148-115}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Naqqas 115 minn 148 biex tikseb 33.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Iddividi \frac{3}{2} b'\frac{1}{2} billi timmultiplika \frac{3}{2} bir-reċiproku ta' \frac{1}{2}.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{3}{2}\times 2-\frac{17}{5}}}$$

Annulla 2 u 2.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{3-\frac{17}{5}}}$$

Ikkonverti 3 fi frazzjoni \frac{15}{5}.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{15}{5}-\frac{17}{5}}}$$

Billi \frac{15}{5} u \frac{17}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{15-17}{5}}}$$

Naqqas 17 minn 15 biex tikseb -2.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{-\frac{2}{5}}}$$

Iddividi \frac{33}{20} b'-\frac{2}{5} billi timmultiplika \frac{33}{20} bir-reċiproku ta' -\frac{2}{5}.

$$\frac{\frac{4}{3}}{\frac{33}{20}\left(-\frac{5}{2}\right)}$$

Immultiplika \frac{33}{20} b'-\frac{5}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{4}{3}}{\frac{33\left(-5\right)}{20\times 2}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{33\left(-5\right)}{20\times 2}.

$$\frac{\frac{4}{3}}{\frac{-165}{40}}$$

Naqqas il-frazzjoni \frac{-165}{40} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{\frac{4}{3}}{-\frac{33}{8}}$$

Iddividi \frac{4}{3} b'-\frac{33}{8} billi timmultiplika \frac{4}{3} bir-reċiproku ta' -\frac{33}{8}.

$$\frac{4}{3}\left(-\frac{8}{33}\right)$$

Immultiplika \frac{4}{3} b'-\frac{8}{33} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{4\left(-8\right)}{3\times 33}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{4\left(-8\right)}{3\times 33}.

$$\frac{-32}{99}$$

Frazzjoni \frac{-32}{99} tista' tinkiteb mill-ġdid bħala -\frac{32}{99} bl-estrazzjoni tas-sinjal negattiv.

$$-\frac{32}{99}$$

Fattur

$$-\frac{32}{99} = -0.32323232323232326$$