Issolvi 2-2/3/4/5+3-1/3/4/3/frac{4-1/4{1/2}+frac{5-1/5}{24}}*(frac{7}{20}*frac{11}{2})

$$\frac { \frac { 2 - \frac { 2 } { 3 } } { 4 / 5 } + \frac { 3 - 1 / 3 } { 4 / 3 } } { \frac { 4 - 1 / 4 } { 1 / 2 } + \frac { 5 - 1 / 5 } { 24 } } \times ( \frac { 7 } { 20 } \times \frac { 11 } { 2 } )$$

Evalwa

$$\frac{11}{12}\approx 0.916666667$$

Passi tas-Soluzzjonijiet

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

$$\frac{\frac{\frac{6}{3}-\frac{2}{3}}{\frac{4}{5}}+\frac{3-\frac{1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

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

$$\frac{\frac{\frac{6-2}{3}}{\frac{4}{5}}+\frac{3-\frac{1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Naqqas 2 minn 6 biex tikseb 4.

$$\frac{\frac{\frac{4}{3}}{\frac{4}{5}}+\frac{3-\frac{1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Iddividi \frac{4}{3} b'\frac{4}{5} billi timmultiplika \frac{4}{3} bir-reċiproku ta' \frac{4}{5}.

$$\frac{\frac{4}{3}\times \frac{5}{4}+\frac{3-\frac{1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Immultiplika \frac{4}{3} b'\frac{5}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{4\times 5}{3\times 4}+\frac{3-\frac{1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Annulla 4 fin-numeratur u d-denominatur.

$$\frac{\frac{5}{3}+\frac{3-\frac{1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Ikkonverti 3 fi frazzjoni \frac{9}{3}.

$$\frac{\frac{5}{3}+\frac{\frac{9}{3}-\frac{1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Billi \frac{9}{3} u \frac{1}{3} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{5}{3}+\frac{\frac{9-1}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Naqqas 1 minn 9 biex tikseb 8.

$$\frac{\frac{5}{3}+\frac{\frac{8}{3}}{\frac{4}{3}}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

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

$$\frac{\frac{5}{3}+\frac{8}{3}\times \frac{3}{4}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

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

$$\frac{\frac{5}{3}+\frac{8\times 3}{3\times 4}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\frac{5}{3}+\frac{8}{4}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Iddividi 8 b'4 biex tikseb2.

$$\frac{\frac{5}{3}+2}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

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

$$\frac{\frac{5}{3}+\frac{6}{3}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Billi \frac{5}{3} u \frac{6}{3} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{5+6}{3}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Żid 5 u 6 biex tikseb 11.

$$\frac{\frac{11}{3}}{\frac{4-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Ikkonverti 4 fi frazzjoni \frac{16}{4}.

$$\frac{\frac{11}{3}}{\frac{\frac{16}{4}-\frac{1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Billi \frac{16}{4} u \frac{1}{4} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{11}{3}}{\frac{\frac{16-1}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Naqqas 1 minn 16 biex tikseb 15.

$$\frac{\frac{11}{3}}{\frac{\frac{15}{4}}{\frac{1}{2}}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Iddividi \frac{15}{4} b'\frac{1}{2} billi timmultiplika \frac{15}{4} bir-reċiproku ta' \frac{1}{2}.

$$\frac{\frac{11}{3}}{\frac{15}{4}\times 2+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Esprimi \frac{15}{4}\times 2 bħala frazzjoni waħda.

$$\frac{\frac{11}{3}}{\frac{15\times 2}{4}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Immultiplika 15 u 2 biex tikseb 30.

$$\frac{\frac{11}{3}}{\frac{30}{4}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Naqqas il-frazzjoni \frac{30}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{11}{3}}{\frac{15}{2}+\frac{5-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Ikkonverti 5 fi frazzjoni \frac{25}{5}.

$$\frac{\frac{11}{3}}{\frac{15}{2}+\frac{\frac{25}{5}-\frac{1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Billi \frac{25}{5} u \frac{1}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{11}{3}}{\frac{15}{2}+\frac{\frac{25-1}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Naqqas 1 minn 25 biex tikseb 24.

$$\frac{\frac{11}{3}}{\frac{15}{2}+\frac{\frac{24}{5}}{24}}\times \frac{7}{20}\times \frac{11}{2}$$

Esprimi \frac{\frac{24}{5}}{24} bħala frazzjoni waħda.

$$\frac{\frac{11}{3}}{\frac{15}{2}+\frac{24}{5\times 24}}\times \frac{7}{20}\times \frac{11}{2}$$

Annulla 24 fin-numeratur u d-denominatur.

$$\frac{\frac{11}{3}}{\frac{15}{2}+\frac{1}{5}}\times \frac{7}{20}\times \frac{11}{2}$$

L-inqas multipli komuni ta' 2 u 5 huwa 10. Ikkonverti \frac{15}{2} u \frac{1}{5} fi frazzjonijiet bid-denominatur 10.

$$\frac{\frac{11}{3}}{\frac{75}{10}+\frac{2}{10}}\times \frac{7}{20}\times \frac{11}{2}$$

Billi \frac{75}{10} u \frac{2}{10} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{11}{3}}{\frac{75+2}{10}}\times \frac{7}{20}\times \frac{11}{2}$$

Żid 75 u 2 biex tikseb 77.

$$\frac{\frac{11}{3}}{\frac{77}{10}}\times \frac{7}{20}\times \frac{11}{2}$$

Iddividi \frac{11}{3} b'\frac{77}{10} billi timmultiplika \frac{11}{3} bir-reċiproku ta' \frac{77}{10}.

$$\frac{11}{3}\times \frac{10}{77}\times \frac{7}{20}\times \frac{11}{2}$$

Immultiplika \frac{11}{3} b'\frac{10}{77} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{11\times 10}{3\times 77}\times \frac{7}{20}\times \frac{11}{2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{11\times 10}{3\times 77}.

$$\frac{110}{231}\times \frac{7}{20}\times \frac{11}{2}$$

Naqqas il-frazzjoni \frac{110}{231} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 11.

$$\frac{10}{21}\times \frac{7}{20}\times \frac{11}{2}$$

Immultiplika \frac{10}{21} b'\frac{7}{20} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{10\times 7}{21\times 20}\times \frac{11}{2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{10\times 7}{21\times 20}.

$$\frac{70}{420}\times \frac{11}{2}$$

Naqqas il-frazzjoni \frac{70}{420} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 70.

$$\frac{1}{6}\times \frac{11}{2}$$

Immultiplika \frac{1}{6} b'\frac{11}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1\times 11}{6\times 2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 11}{6\times 2}.

$$\frac{11}{12}$$

Fattur

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$