Issolvi 2+1/3/7+1-frac{1/4/3}{frac{frac{1}{2}}{frac{1}{4}}-frac{frac{1}{4}}{frac{3}{5}}}left(frac{2}{7}+frac{4}{19}right)

$$\frac{ \frac{ 2+ \frac{ 1 }{ 3 } }{ 7 } + \frac{ 1- \frac{ 1 }{ 4 } }{ 3 } }{ \frac{ \frac{ 1 }{ 2 } }{ \frac{ 1 }{ 4 } } - \frac{ \frac{ 1 }{ 4 } }{ \frac{ 3 }{ 5 } } } \left( \frac{ 2 }{ 7 } + \frac{ 4 }{ 19 } \right)$$

Evalwa

$$\frac{66}{361}\approx 0.182825485$$

Passi tas-Soluzzjonijiet

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

$$\frac{\frac{\frac{6}{3}+\frac{1}{3}}{7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Billi \frac{6}{3} u \frac{1}{3} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{\frac{6+1}{3}}{7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Żid 6 u 1 biex tikseb 7.

$$\frac{\frac{\frac{7}{3}}{7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Esprimi \frac{\frac{7}{3}}{7} bħala frazzjoni waħda.

$$\frac{\frac{7}{3\times 7}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Annulla 7 fin-numeratur u d-denominatur.

$$\frac{\frac{1}{3}+\frac{1-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Ikkonverti 1 fi frazzjoni \frac{4}{4}.

$$\frac{\frac{1}{3}+\frac{\frac{4}{4}-\frac{1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

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

$$\frac{\frac{1}{3}+\frac{\frac{4-1}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Naqqas 1 minn 4 biex tikseb 3.

$$\frac{\frac{1}{3}+\frac{\frac{3}{4}}{3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Esprimi \frac{\frac{3}{4}}{3} bħala frazzjoni waħda.

$$\frac{\frac{1}{3}+\frac{3}{4\times 3}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\frac{1}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

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

$$\frac{\frac{4}{12}+\frac{3}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Billi \frac{4}{12} u \frac{3}{12} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{4+3}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Żid 4 u 3 biex tikseb 7.

$$\frac{\frac{7}{12}}{\frac{\frac{1}{2}}{\frac{1}{4}}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

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

$$\frac{\frac{7}{12}}{\frac{1}{2}\times 4-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Immultiplika \frac{1}{2} u 4 biex tikseb \frac{4}{2}.

$$\frac{\frac{7}{12}}{\frac{4}{2}-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Iddividi 4 b'2 biex tikseb2.

$$\frac{\frac{7}{12}}{2-\frac{\frac{1}{4}}{\frac{3}{5}}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Iddividi \frac{1}{4} b'\frac{3}{5} billi timmultiplika \frac{1}{4} bir-reċiproku ta' \frac{3}{5}.

$$\frac{\frac{7}{12}}{2-\frac{1}{4}\times \frac{5}{3}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Immultiplika \frac{1}{4} b'\frac{5}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{7}{12}}{2-\frac{1\times 5}{4\times 3}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 5}{4\times 3}.

$$\frac{\frac{7}{12}}{2-\frac{5}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Ikkonverti 2 fi frazzjoni \frac{24}{12}.

$$\frac{\frac{7}{12}}{\frac{24}{12}-\frac{5}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Billi \frac{24}{12} u \frac{5}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{7}{12}}{\frac{24-5}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Naqqas 5 minn 24 biex tikseb 19.

$$\frac{\frac{7}{12}}{\frac{19}{12}}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Iddividi \frac{7}{12} b'\frac{19}{12} billi timmultiplika \frac{7}{12} bir-reċiproku ta' \frac{19}{12}.

$$\frac{7}{12}\times \frac{12}{19}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Immultiplika \frac{7}{12} b'\frac{12}{19} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{7\times 12}{12\times 19}\left(\frac{2}{7}+\frac{4}{19}\right)$$

Annulla 12 fin-numeratur u d-denominatur.

$$\frac{7}{19}\left(\frac{2}{7}+\frac{4}{19}\right)$$

L-inqas multipli komuni ta' 7 u 19 huwa 133. Ikkonverti \frac{2}{7} u \frac{4}{19} fi frazzjonijiet bid-denominatur 133.

$$\frac{7}{19}\left(\frac{38}{133}+\frac{28}{133}\right)$$

Billi \frac{38}{133} u \frac{28}{133} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{7}{19}\times \frac{38+28}{133}$$

Żid 38 u 28 biex tikseb 66.

$$\frac{7}{19}\times \frac{66}{133}$$

Immultiplika \frac{7}{19} b'\frac{66}{133} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{7\times 66}{19\times 133}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{7\times 66}{19\times 133}.

$$\frac{462}{2527}$$

Naqqas il-frazzjoni \frac{462}{2527} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 7.

$$\frac{66}{361}$$

Fattur

$$\frac{2 \cdot 3 \cdot 11}{19 ^ {2}} = 0.18282548476454294$$