Issolvi 5/24+7/60+9/40+11/210+frac{15}{504}+frac{17}{720}+frac{19}{990}

$$\frac { 5 } { 24 } + \frac { 7 } { 60 } + \frac { 9 } { 40 } + \frac { 11 } { 210 } + \frac { 15 } { 504 } + \frac { 17 } { 720 } + \frac { 19 } { 990 }$$

Evalwa

$$\frac{12473}{18480}\approx 0.674945887$$

Passi tas-Soluzzjonijiet

L-inqas multipli komuni ta' 24 u 60 huwa 120. Ikkonverti \frac{5}{24} u \frac{7}{60} fi frazzjonijiet bid-denominatur 120.

$$\frac{25}{120}+\frac{14}{120}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Billi \frac{25}{120} u \frac{14}{120} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{25+14}{120}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Żid 25 u 14 biex tikseb 39.

$$\frac{39}{120}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Naqqas il-frazzjoni \frac{39}{120} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{13}{40}+\frac{9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Billi \frac{13}{40} u \frac{9}{40} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{13+9}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Żid 13 u 9 biex tikseb 22.

$$\frac{22}{40}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Naqqas il-frazzjoni \frac{22}{40} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{11}{20}+\frac{11}{210}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

L-inqas multipli komuni ta' 20 u 210 huwa 420. Ikkonverti \frac{11}{20} u \frac{11}{210} fi frazzjonijiet bid-denominatur 420.

$$\frac{231}{420}+\frac{22}{420}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Billi \frac{231}{420} u \frac{22}{420} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{231+22}{420}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Żid 231 u 22 biex tikseb 253.

$$\frac{253}{420}+\frac{15}{504}+\frac{17}{720}+\frac{19}{990}$$

Naqqas il-frazzjoni \frac{15}{504} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{253}{420}+\frac{5}{168}+\frac{17}{720}+\frac{19}{990}$$

L-inqas multipli komuni ta' 420 u 168 huwa 840. Ikkonverti \frac{253}{420} u \frac{5}{168} fi frazzjonijiet bid-denominatur 840.

$$\frac{506}{840}+\frac{25}{840}+\frac{17}{720}+\frac{19}{990}$$

Billi \frac{506}{840} u \frac{25}{840} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{506+25}{840}+\frac{17}{720}+\frac{19}{990}$$

Żid 506 u 25 biex tikseb 531.

$$\frac{531}{840}+\frac{17}{720}+\frac{19}{990}$$

Naqqas il-frazzjoni \frac{531}{840} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{177}{280}+\frac{17}{720}+\frac{19}{990}$$

L-inqas multipli komuni ta' 280 u 720 huwa 5040. Ikkonverti \frac{177}{280} u \frac{17}{720} fi frazzjonijiet bid-denominatur 5040.

$$\frac{3186}{5040}+\frac{119}{5040}+\frac{19}{990}$$

Billi \frac{3186}{5040} u \frac{119}{5040} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{3186+119}{5040}+\frac{19}{990}$$

Żid 3186 u 119 biex tikseb 3305.

$$\frac{3305}{5040}+\frac{19}{990}$$

Naqqas il-frazzjoni \frac{3305}{5040} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{661}{1008}+\frac{19}{990}$$

L-inqas multipli komuni ta' 1008 u 990 huwa 55440. Ikkonverti \frac{661}{1008} u \frac{19}{990} fi frazzjonijiet bid-denominatur 55440.

$$\frac{36355}{55440}+\frac{1064}{55440}$$

Billi \frac{36355}{55440} u \frac{1064}{55440} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{36355+1064}{55440}$$

Żid 36355 u 1064 biex tikseb 37419.

$$\frac{37419}{55440}$$

Naqqas il-frazzjoni \frac{37419}{55440} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{12473}{18480}$$

Fattur

$$\frac{12473}{2 ^ {4} \cdot 3 \cdot 5 \cdot 7 \cdot 11} = 0.6749458874458875$$