Issolvi {c}{1+1/1-1{1+frac{1/1-frac{1{3}}}}}{2-1/3/frac{3{4}+frac{1}{4}}{frac{3}{4}}*frac{9}{40}}

$$\left. \begin{array} { c } { 1 + \frac { 1 } { 1 - \frac { 1 } { 1 + \frac { 1 } { 1 - \frac { 1 } { 3 } } } } } \\ { \frac { 2 - \frac { 1 } { 3 } } { \frac { 3 } { 4 } + \frac { 1 } { 4 } } { \frac { 3 } { 4 } } \times \frac { 9 } { 40 } } \end{array} \right.$$

Issortja

$$\frac{9}{32},\frac{8}{3}$$

Passi tas-Soluzzjonijiet

Ikkonverti 1 fi frazzjoni \frac{3}{3}.

$$sort(1+\frac{1}{1-\frac{1}{1+\frac{1}{\frac{3}{3}-\frac{1}{3}}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

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

$$sort(1+\frac{1}{1-\frac{1}{1+\frac{1}{\frac{3-1}{3}}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Naqqas 1 minn 3 biex tikseb 2.

$$sort(1+\frac{1}{1-\frac{1}{1+\frac{1}{\frac{2}{3}}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Iddividi 1 b'\frac{2}{3} billi timmultiplika 1 bir-reċiproku ta' \frac{2}{3}.

$$sort(1+\frac{1}{1-\frac{1}{1+1\times \frac{3}{2}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Immultiplika 1 u \frac{3}{2} biex tikseb \frac{3}{2}.

$$sort(1+\frac{1}{1-\frac{1}{1+\frac{3}{2}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Ikkonverti 1 fi frazzjoni \frac{2}{2}.

$$sort(1+\frac{1}{1-\frac{1}{\frac{2}{2}+\frac{3}{2}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Billi \frac{2}{2} u \frac{3}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$sort(1+\frac{1}{1-\frac{1}{\frac{2+3}{2}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Żid 2 u 3 biex tikseb 5.

$$sort(1+\frac{1}{1-\frac{1}{\frac{5}{2}}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Iddividi 1 b'\frac{5}{2} billi timmultiplika 1 bir-reċiproku ta' \frac{5}{2}.

$$sort(1+\frac{1}{1-1\times \frac{2}{5}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Immultiplika 1 u \frac{2}{5} biex tikseb \frac{2}{5}.

$$sort(1+\frac{1}{1-\frac{2}{5}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Ikkonverti 1 fi frazzjoni \frac{5}{5}.

$$sort(1+\frac{1}{\frac{5}{5}-\frac{2}{5}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Billi \frac{5}{5} u \frac{2}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$sort(1+\frac{1}{\frac{5-2}{5}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Naqqas 2 minn 5 biex tikseb 3.

$$sort(1+\frac{1}{\frac{3}{5}},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

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

$$sort(1+1\times \frac{5}{3},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Immultiplika 1 u \frac{5}{3} biex tikseb \frac{5}{3}.

$$sort(1+\frac{5}{3},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Ikkonverti 1 fi frazzjoni \frac{3}{3}.

$$sort(\frac{3}{3}+\frac{5}{3},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

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

$$sort(\frac{3+5}{3},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Żid 3 u 5 biex tikseb 8.

$$sort(\frac{8}{3},\frac{2-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

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

$$sort(\frac{8}{3},\frac{\frac{6}{3}-\frac{1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

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

$$sort(\frac{8}{3},\frac{\frac{6-1}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Naqqas 1 minn 6 biex tikseb 5.

$$sort(\frac{8}{3},\frac{\frac{5}{3}}{\frac{3}{4}+\frac{1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Billi \frac{3}{4} u \frac{1}{4} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$sort(\frac{8}{3},\frac{\frac{5}{3}}{\frac{3+1}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Żid 3 u 1 biex tikseb 4.

$$sort(\frac{8}{3},\frac{\frac{5}{3}}{\frac{4}{4}}\times \frac{3}{4}\times \frac{9}{40})$$

Iddividi 4 b'4 biex tikseb1.

$$sort(\frac{8}{3},\frac{\frac{5}{3}}{1}\times \frac{3}{4}\times \frac{9}{40})$$

Kwalunkwe ħaġa diviża b'wieħed tagħti riżultat tagħha stess.

$$sort(\frac{8}{3},\frac{5}{3}\times \frac{3}{4}\times \frac{9}{40})$$

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

$$sort(\frac{8}{3},\frac{5\times 3}{3\times 4}\times \frac{9}{40})$$

Annulla 3 fin-numeratur u d-denominatur.

$$sort(\frac{8}{3},\frac{5}{4}\times \frac{9}{40})$$

Immultiplika \frac{5}{4} b'\frac{9}{40} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$sort(\frac{8}{3},\frac{5\times 9}{4\times 40})$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{5\times 9}{4\times 40}.

$$sort(\frac{8}{3},\frac{45}{160})$$

Naqqas il-frazzjoni \frac{45}{160} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$sort(\frac{8}{3},\frac{9}{32})$$

Id-denominatur l-inqas komuni tan-numri fil-lista \frac{8}{3},\frac{9}{32} huwa 96. Ikkonverti n-numri fil-lista fi frazzjonijiet bid-denominatur 96.

$$\frac{256}{96},\frac{27}{96}$$

Biex tirranġa l-lista, ibda minn element wieħed \frac{256}{96}.

$$\frac{256}{96}$$

Daħħal \frac{27}{96} fil-post xieraq fil-lista l-ġdida.

$$\frac{27}{96},\frac{256}{96}$$

Ibdel il-frazzjonijiet miksuba bil-valuri inizjali.

$$\frac{9}{32},\frac{8}{3}$$

Evalwa

$$\frac{8}{3},\ \frac{9}{32}$$