Issolvi e(1-2/5)*((1/2+1/3-1/4)*(frac{1}{2}-frac{1}{13})+frac{3}{4}:frac{9}{2})

$$e ( 1 - \frac { 2 } { 5 } ) \cdot ( ( \frac { 1 } { 2 } + \frac { 1 } { 3 } - \frac { 1 } { 4 } ) \cdot ( \frac { 1 } { 2 } - \frac { 1 } { 13 } ) + \frac { 3 } { 4 } : \frac { 9 } { 2 } )$$

Evalwa

$$\frac{129e}{520}\approx 0.674342992$$

Passi tas-Soluzzjonijiet

Ikkonverti 1 fi frazzjoni \frac{5}{5}.

$$e\left(\frac{5}{5}-\frac{2}{5}\right)\left(\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Billi \frac{5}{5} u \frac{2}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$e\times \frac{5-2}{5}\left(\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Naqqas 2 minn 5 biex tikseb 3.

$$e\times \frac{3}{5}\left(\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

L-inqas multipli komuni ta' 2 u 3 huwa 6. Ikkonverti \frac{1}{2} u \frac{1}{3} fi frazzjonijiet bid-denominatur 6.

$$e\times \frac{3}{5}\left(\left(\frac{3}{6}+\frac{2}{6}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

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

$$e\times \frac{3}{5}\left(\left(\frac{3+2}{6}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Żid 3 u 2 biex tikseb 5.

$$e\times \frac{3}{5}\left(\left(\frac{5}{6}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

L-inqas multipli komuni ta' 6 u 4 huwa 12. Ikkonverti \frac{5}{6} u \frac{1}{4} fi frazzjonijiet bid-denominatur 12.

$$e\times \frac{3}{5}\left(\left(\frac{10}{12}-\frac{3}{12}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Billi \frac{10}{12} u \frac{3}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$e\times \frac{3}{5}\left(\frac{10-3}{12}\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Naqqas 3 minn 10 biex tikseb 7.

$$e\times \frac{3}{5}\left(\frac{7}{12}\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

L-inqas multipli komuni ta' 2 u 13 huwa 26. Ikkonverti \frac{1}{2} u \frac{1}{13} fi frazzjonijiet bid-denominatur 26.

$$e\times \frac{3}{5}\left(\frac{7}{12}\left(\frac{13}{26}-\frac{2}{26}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Billi \frac{13}{26} u \frac{2}{26} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$e\times \frac{3}{5}\left(\frac{7}{12}\times \frac{13-2}{26}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Naqqas 2 minn 13 biex tikseb 11.

$$e\times \frac{3}{5}\left(\frac{7}{12}\times \frac{11}{26}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Immultiplika \frac{7}{12} b'\frac{11}{26} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$e\times \frac{3}{5}\left(\frac{7\times 11}{12\times 26}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{7\times 11}{12\times 26}.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Iddividi \frac{3}{4} b'\frac{9}{2} billi timmultiplika \frac{3}{4} bir-reċiproku ta' \frac{9}{2}.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{3}{4}\times \frac{2}{9}\right)$$

Immultiplika \frac{3}{4} b'\frac{2}{9} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{3\times 2}{4\times 9}\right)$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{3\times 2}{4\times 9}.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{6}{36}\right)$$

Naqqas il-frazzjoni \frac{6}{36} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{1}{6}\right)$$

L-inqas multipli komuni ta' 312 u 6 huwa 312. Ikkonverti \frac{77}{312} u \frac{1}{6} fi frazzjonijiet bid-denominatur 312.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{52}{312}\right)$$

Billi \frac{77}{312} u \frac{52}{312} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$e\times \frac{3}{5}\times \frac{77+52}{312}$$

Żid 77 u 52 biex tikseb 129.

$$e\times \frac{3}{5}\times \frac{129}{312}$$

Naqqas il-frazzjoni \frac{129}{312} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$e\times \frac{3}{5}\times \frac{43}{104}$$

Immultiplika \frac{3}{5} b'\frac{43}{104} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$e\times \frac{3\times 43}{5\times 104}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{3\times 43}{5\times 104}.

$$e\times \frac{129}{520}$$

Espandi

$$\frac{129e}{520}$$

Passi tas-Soluzzjonijiet

Ikkonverti 1 fi frazzjoni \frac{5}{5}.

$$e\left(\frac{5}{5}-\frac{2}{5}\right)\left(\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Billi \frac{5}{5} u \frac{2}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$e\times \frac{5-2}{5}\left(\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Naqqas 2 minn 5 biex tikseb 3.

$$e\times \frac{3}{5}\left(\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

L-inqas multipli komuni ta' 2 u 3 huwa 6. Ikkonverti \frac{1}{2} u \frac{1}{3} fi frazzjonijiet bid-denominatur 6.

$$e\times \frac{3}{5}\left(\left(\frac{3}{6}+\frac{2}{6}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

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

$$e\times \frac{3}{5}\left(\left(\frac{3+2}{6}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Żid 3 u 2 biex tikseb 5.

$$e\times \frac{3}{5}\left(\left(\frac{5}{6}-\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

L-inqas multipli komuni ta' 6 u 4 huwa 12. Ikkonverti \frac{5}{6} u \frac{1}{4} fi frazzjonijiet bid-denominatur 12.

$$e\times \frac{3}{5}\left(\left(\frac{10}{12}-\frac{3}{12}\right)\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Billi \frac{10}{12} u \frac{3}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$e\times \frac{3}{5}\left(\frac{10-3}{12}\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Naqqas 3 minn 10 biex tikseb 7.

$$e\times \frac{3}{5}\left(\frac{7}{12}\left(\frac{1}{2}-\frac{1}{13}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

L-inqas multipli komuni ta' 2 u 13 huwa 26. Ikkonverti \frac{1}{2} u \frac{1}{13} fi frazzjonijiet bid-denominatur 26.

$$e\times \frac{3}{5}\left(\frac{7}{12}\left(\frac{13}{26}-\frac{2}{26}\right)+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Billi \frac{13}{26} u \frac{2}{26} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$e\times \frac{3}{5}\left(\frac{7}{12}\times \frac{13-2}{26}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Naqqas 2 minn 13 biex tikseb 11.

$$e\times \frac{3}{5}\left(\frac{7}{12}\times \frac{11}{26}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Immultiplika \frac{7}{12} b'\frac{11}{26} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$e\times \frac{3}{5}\left(\frac{7\times 11}{12\times 26}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{7\times 11}{12\times 26}.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{\frac{3}{4}}{\frac{9}{2}}\right)$$

Iddividi \frac{3}{4} b'\frac{9}{2} billi timmultiplika \frac{3}{4} bir-reċiproku ta' \frac{9}{2}.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{3}{4}\times \frac{2}{9}\right)$$

Immultiplika \frac{3}{4} b'\frac{2}{9} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{3\times 2}{4\times 9}\right)$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{3\times 2}{4\times 9}.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{6}{36}\right)$$

Naqqas il-frazzjoni \frac{6}{36} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{1}{6}\right)$$

L-inqas multipli komuni ta' 312 u 6 huwa 312. Ikkonverti \frac{77}{312} u \frac{1}{6} fi frazzjonijiet bid-denominatur 312.

$$e\times \frac{3}{5}\left(\frac{77}{312}+\frac{52}{312}\right)$$

Billi \frac{77}{312} u \frac{52}{312} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$e\times \frac{3}{5}\times \frac{77+52}{312}$$

Żid 77 u 52 biex tikseb 129.

$$e\times \frac{3}{5}\times \frac{129}{312}$$

Naqqas il-frazzjoni \frac{129}{312} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$e\times \frac{3}{5}\times \frac{43}{104}$$

Immultiplika \frac{3}{5} b'\frac{43}{104} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$e\times \frac{3\times 43}{5\times 104}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{3\times 43}{5\times 104}.

$$e\times \frac{129}{520}$$