Issolvi (42/3+0.75)*39/13/(5frac{4{45}-41/6)div5frac{8}{15}}div34frac{2}{7}

$$\frac { ( 4 \frac { 2 } { 3 } + 0.75 ) \times 3 \frac { 9 } { 13 } } { ( 5 \frac { 4 } { 45 } - 4 \frac { 1 } { 6 } ) \div 5 \frac { 8 } { 15 } } \div 34 \frac { 2 } { 7 }$$

Evalwa

$$3.5$$

Passi tas-Soluzzjonijiet

Iddividi \frac{\left(\frac{4\times 3+2}{3}+0.75\right)\times \frac{3\times 13+9}{13}}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}} b'\frac{34\times 7+2}{7} billi timmultiplika \frac{\left(\frac{4\times 3+2}{3}+0.75\right)\times \frac{3\times 13+9}{13}}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}} bir-reċiproku ta' \frac{34\times 7+2}{7}.

$$\frac{\left(\frac{4\times 3+2}{3}+0.75\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Immultiplika 4 u 3 biex tikseb 12.

$$\frac{\left(\frac{12+2}{3}+0.75\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Żid 12 u 2 biex tikseb 14.

$$\frac{\left(\frac{14}{3}+0.75\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Ikkonverti n-numru deċimali 0.75 fi frazzjoni \frac{75}{100}. Naqqas il-frazzjoni \frac{75}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 25.

$$\frac{\left(\frac{14}{3}+\frac{3}{4}\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

L-inqas multipli komuni ta' 3 u 4 huwa 12. Ikkonverti \frac{14}{3} u \frac{3}{4} fi frazzjonijiet bid-denominatur 12.

$$\frac{\left(\frac{56}{12}+\frac{9}{12}\right)\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Billi \frac{56}{12} u \frac{9}{12} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{56+9}{12}\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Żid 56 u 9 biex tikseb 65.

$$\frac{\frac{65}{12}\times \frac{3\times 13+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Immultiplika 3 u 13 biex tikseb 39.

$$\frac{\frac{65}{12}\times \frac{39+9}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Żid 39 u 9 biex tikseb 48.

$$\frac{\frac{65}{12}\times \frac{48}{13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Immultiplika \frac{65}{12} b'\frac{48}{13} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{65\times 48}{12\times 13}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{65\times 48}{12\times 13}.

$$\frac{\frac{3120}{156}\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Iddividi 3120 b'156 biex tikseb20.

$$\frac{20\times 7}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Immultiplika 20 u 7 biex tikseb 140.

$$\frac{140}{\frac{\frac{5\times 45+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Immultiplika 5 u 45 biex tikseb 225.

$$\frac{140}{\frac{\frac{225+4}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Żid 225 u 4 biex tikseb 229.

$$\frac{140}{\frac{\frac{229}{45}-\frac{4\times 6+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Immultiplika 4 u 6 biex tikseb 24.

$$\frac{140}{\frac{\frac{229}{45}-\frac{24+1}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Żid 24 u 1 biex tikseb 25.

$$\frac{140}{\frac{\frac{229}{45}-\frac{25}{6}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

L-inqas multipli komuni ta' 45 u 6 huwa 90. Ikkonverti \frac{229}{45} u \frac{25}{6} fi frazzjonijiet bid-denominatur 90.

$$\frac{140}{\frac{\frac{458}{90}-\frac{375}{90}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Billi \frac{458}{90} u \frac{375}{90} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{140}{\frac{\frac{458-375}{90}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Naqqas 375 minn 458 biex tikseb 83.

$$\frac{140}{\frac{\frac{83}{90}}{\frac{5\times 15+8}{15}}\left(34\times 7+2\right)}$$

Immultiplika 5 u 15 biex tikseb 75.

$$\frac{140}{\frac{\frac{83}{90}}{\frac{75+8}{15}}\left(34\times 7+2\right)}$$

Żid 75 u 8 biex tikseb 83.

$$\frac{140}{\frac{\frac{83}{90}}{\frac{83}{15}}\left(34\times 7+2\right)}$$

Iddividi \frac{83}{90} b'\frac{83}{15} billi timmultiplika \frac{83}{90} bir-reċiproku ta' \frac{83}{15}.

$$\frac{140}{\frac{83}{90}\times \frac{15}{83}\left(34\times 7+2\right)}$$

Immultiplika \frac{83}{90} b'\frac{15}{83} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{140}{\frac{83\times 15}{90\times 83}\left(34\times 7+2\right)}$$

Annulla 83 fin-numeratur u d-denominatur.

$$\frac{140}{\frac{15}{90}\left(34\times 7+2\right)}$$

Naqqas il-frazzjoni \frac{15}{90} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 15.

$$\frac{140}{\frac{1}{6}\left(34\times 7+2\right)}$$

Immultiplika 34 u 7 biex tikseb 238.

$$\frac{140}{\frac{1}{6}\left(238+2\right)}$$

Żid 238 u 2 biex tikseb 240.

$$\frac{140}{\frac{1}{6}\times 240}$$

Immultiplika \frac{1}{6} u 240 biex tikseb \frac{240}{6}.

$$\frac{140}{\frac{240}{6}}$$

Iddividi 240 b'6 biex tikseb40.

$$\frac{140}{40}$$

Naqqas il-frazzjoni \frac{140}{40} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 20.

$$\frac{7}{2}$$

Fattur

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$