Issolvi (3/4-1/3)2/3/(1-frac{1{6})div5}*3+frac{frac{4}{3}+frac{1}{2}}{frac{1}{frac{1}{2}-frac{2}{5}}}

$$\frac { ( \frac { 3 } { 4 } - \frac { 1 } { 3 } ) \frac { 2 } { 3 } } { ( 1 - \frac { 1 } { 6 } ) \div 5 } \times 3 + \frac { \frac { 4 } { 3 } + \frac { 1 } { 2 } } { \frac { 1 } { \frac { 1 } { 2 } - \frac { 2 } { 5 } } }$$

Evalwa

$$\frac{311}{60}\approx 5.183333333$$

Passi tas-Soluzzjonijiet

L-inqas multipli komuni ta' 4 u 3 huwa 12. Ikkonverti \frac{3}{4} u \frac{1}{3} fi frazzjonijiet bid-denominatur 12.

$$\frac{\left(\frac{9}{12}-\frac{4}{12}\right)\times \frac{2}{3}}{\frac{1-\frac{1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Billi \frac{9}{12} u \frac{4}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{9-4}{12}\times \frac{2}{3}}{\frac{1-\frac{1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Naqqas 4 minn 9 biex tikseb 5.

$$\frac{\frac{5}{12}\times \frac{2}{3}}{\frac{1-\frac{1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Immultiplika \frac{5}{12} b'\frac{2}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{5\times 2}{12\times 3}}{\frac{1-\frac{1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{5\times 2}{12\times 3}.

$$\frac{\frac{10}{36}}{\frac{1-\frac{1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Naqqas il-frazzjoni \frac{10}{36} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{5}{18}}{\frac{1-\frac{1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Ikkonverti 1 fi frazzjoni \frac{6}{6}.

$$\frac{\frac{5}{18}}{\frac{\frac{6}{6}-\frac{1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Billi \frac{6}{6} u \frac{1}{6} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{5}{18}}{\frac{\frac{6-1}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Naqqas 1 minn 6 biex tikseb 5.

$$\frac{\frac{5}{18}}{\frac{\frac{5}{6}}{5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Esprimi \frac{\frac{5}{6}}{5} bħala frazzjoni waħda.

$$\frac{\frac{5}{18}}{\frac{5}{6\times 5}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Annulla 5 fin-numeratur u d-denominatur.

$$\frac{\frac{5}{18}}{\frac{1}{6}}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Iddividi \frac{5}{18} b'\frac{1}{6} billi timmultiplika \frac{5}{18} bir-reċiproku ta' \frac{1}{6}.

$$\frac{5}{18}\times 6\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Esprimi \frac{5}{18}\times 6 bħala frazzjoni waħda.

$$\frac{5\times 6}{18}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Immultiplika 5 u 6 biex tikseb 30.

$$\frac{30}{18}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Naqqas il-frazzjoni \frac{30}{18} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\frac{5}{3}\times 3+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Annulla 3 u 3.

$$5+\frac{\frac{4}{3}+\frac{1}{2}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

L-inqas multipli komuni ta' 3 u 2 huwa 6. Ikkonverti \frac{4}{3} u \frac{1}{2} fi frazzjonijiet bid-denominatur 6.

$$5+\frac{\frac{8}{6}+\frac{3}{6}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Billi \frac{8}{6} u \frac{3}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$5+\frac{\frac{8+3}{6}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

Żid 8 u 3 biex tikseb 11.

$$5+\frac{\frac{11}{6}}{\frac{1}{\frac{1}{2}-\frac{2}{5}}}$$

L-inqas multipli komuni ta' 2 u 5 huwa 10. Ikkonverti \frac{1}{2} u \frac{2}{5} fi frazzjonijiet bid-denominatur 10.

$$5+\frac{\frac{11}{6}}{\frac{1}{\frac{5}{10}-\frac{4}{10}}}$$

Billi \frac{5}{10} u \frac{4}{10} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$5+\frac{\frac{11}{6}}{\frac{1}{\frac{5-4}{10}}}$$

Naqqas 4 minn 5 biex tikseb 1.

$$5+\frac{\frac{11}{6}}{\frac{1}{\frac{1}{10}}}$$

Iddividi 1 b'\frac{1}{10} billi timmultiplika 1 bir-reċiproku ta' \frac{1}{10}.

$$5+\frac{\frac{11}{6}}{1\times 10}$$

Immultiplika 1 u 10 biex tikseb 10.

$$5+\frac{\frac{11}{6}}{10}$$

Esprimi \frac{\frac{11}{6}}{10} bħala frazzjoni waħda.

$$5+\frac{11}{6\times 10}$$

Immultiplika 6 u 10 biex tikseb 60.

$$5+\frac{11}{60}$$

Ikkonverti 5 fi frazzjoni \frac{300}{60}.

$$\frac{300}{60}+\frac{11}{60}$$

Billi \frac{300}{60} u \frac{11}{60} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{300+11}{60}$$

Żid 300 u 11 biex tikseb 311.

$$\frac{311}{60}$$

Fattur

$$\frac{311}{2 ^ {2} \cdot 3 \cdot 5} = 5\frac{11}{60} = 5.183333333333334$$