Issolvi 1:{2/19*|(3/2+27/5):3/5-(frac{11}{6}-frac{7}{4})|:frac{5}{6}}

$$1 : \{ \frac { 2 } { 19 } \times | ( \frac { 3 } { 2 } + \frac { 27 } { 5 } ) : \frac { 3 } { 5 } - ( \frac { 11 } { 6 } - \frac { 7 } { 4 } ) | : \frac { 5 } { 6 } \}$$

Evalwa

$$\frac{95}{137}\approx 0.693430657$$

Passi tas-Soluzzjonijiet

Iddividi 1 b'\frac{\frac{2}{19}|\frac{\frac{3}{2}+\frac{27}{5}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}{\frac{5}{6}} billi timmultiplika 1 bir-reċiproku ta' \frac{\frac{2}{19}|\frac{\frac{3}{2}+\frac{27}{5}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}{\frac{5}{6}}.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{3}{2}+\frac{27}{5}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

L-inqas multipli komuni ta' 2 u 5 huwa 10. Ikkonverti \frac{3}{2} u \frac{27}{5} fi frazzjonijiet bid-denominatur 10.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{15}{10}+\frac{54}{10}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

Billi \frac{15}{10} u \frac{54}{10} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{15+54}{10}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

Żid 15 u 54 biex tikseb 69.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{\frac{69}{10}}{\frac{3}{5}}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

Iddividi \frac{69}{10} b'\frac{3}{5} billi timmultiplika \frac{69}{10} bir-reċiproku ta' \frac{3}{5}.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{69}{10}\times \frac{5}{3}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

Immultiplika \frac{69}{10} b'\frac{5}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{69\times 5}{10\times 3}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{69\times 5}{10\times 3}.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{345}{30}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

Naqqas il-frazzjoni \frac{345}{30} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 15.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\left(\frac{11}{6}-\frac{7}{4}\right)|}$$

L-inqas multipli komuni ta' 6 u 4 huwa 12. Ikkonverti \frac{11}{6} u \frac{7}{4} fi frazzjonijiet bid-denominatur 12.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\left(\frac{22}{12}-\frac{21}{12}\right)|}$$

Billi \frac{22}{12} u \frac{21}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\frac{22-21}{12}|}$$

Naqqas 21 minn 22 biex tikseb 1.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{23}{2}-\frac{1}{12}|}$$

L-inqas multipli komuni ta' 2 u 12 huwa 12. Ikkonverti \frac{23}{2} u \frac{1}{12} fi frazzjonijiet bid-denominatur 12.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{138}{12}-\frac{1}{12}|}$$

Billi \frac{138}{12} u \frac{1}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{138-1}{12}|}$$

Naqqas 1 minn 138 biex tikseb 137.

$$\frac{\frac{5}{6}}{\frac{2}{19}|\frac{137}{12}|}$$

Il-valur assolut ta' numru reali a huwa a meta a\geq 0, jew -a meta a<0. Il-valur assolut ta' \frac{137}{12} huwa \frac{137}{12}.

$$\frac{\frac{5}{6}}{\frac{2}{19}\times \frac{137}{12}}$$

Immultiplika \frac{2}{19} b'\frac{137}{12} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{5}{6}}{\frac{2\times 137}{19\times 12}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{2\times 137}{19\times 12}.

$$\frac{\frac{5}{6}}{\frac{274}{228}}$$

Naqqas il-frazzjoni \frac{274}{228} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{5}{6}}{\frac{137}{114}}$$

Iddividi \frac{5}{6} b'\frac{137}{114} billi timmultiplika \frac{5}{6} bir-reċiproku ta' \frac{137}{114}.

$$\frac{5}{6}\times \frac{114}{137}$$

Immultiplika \frac{5}{6} b'\frac{114}{137} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5\times 114}{6\times 137}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{5\times 114}{6\times 137}.

$$\frac{570}{822}$$

Naqqas il-frazzjoni \frac{570}{822} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\frac{95}{137}$$

Fattur

$$\frac{5 \cdot 19}{137} = 0.6934306569343066$$