Issolvi {l}{5/7-1/3}{23/5-7/8}{4frac{1}{2}*1frac{3}{4}}{2frac{1}{3}divfrac{5}{7}}

$$\left. \begin{array} { l } { \frac { 5 } { 7 } - \frac { 1 } { 3 } } \\ { 2 \frac { 3 } { 5 } - \frac { 7 } { 8 } } \\ { 4 \frac { 1 } { 2 } \times 1 \frac { 3 } { 4 } } \\ { 2 \frac { 1 } { 3 } \div \frac { 5 } { 7 } } \end{array} \right.$$

Issortja

$$\frac{8}{21},\frac{69}{40},\frac{49}{15},\frac{63}{8}$$

Passi tas-Soluzzjonijiet

L-inqas multipli komuni ta' 7 u 3 huwa 21. Ikkonverti \frac{5}{7} u \frac{1}{3} fi frazzjonijiet bid-denominatur 21.

$$sort(\frac{15}{21}-\frac{7}{21},\frac{2\times 5+3}{5}-\frac{7}{8},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Billi \frac{15}{21} u \frac{7}{21} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$sort(\frac{15-7}{21},\frac{2\times 5+3}{5}-\frac{7}{8},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Naqqas 7 minn 15 biex tikseb 8.

$$sort(\frac{8}{21},\frac{2\times 5+3}{5}-\frac{7}{8},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Immultiplika 2 u 5 biex tikseb 10.

$$sort(\frac{8}{21},\frac{10+3}{5}-\frac{7}{8},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Żid 10 u 3 biex tikseb 13.

$$sort(\frac{8}{21},\frac{13}{5}-\frac{7}{8},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

L-inqas multipli komuni ta' 5 u 8 huwa 40. Ikkonverti \frac{13}{5} u \frac{7}{8} fi frazzjonijiet bid-denominatur 40.

$$sort(\frac{8}{21},\frac{104}{40}-\frac{35}{40},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Billi \frac{104}{40} u \frac{35}{40} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$sort(\frac{8}{21},\frac{104-35}{40},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Naqqas 35 minn 104 biex tikseb 69.

$$sort(\frac{8}{21},\frac{69}{40},\frac{4\times 2+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Immultiplika 4 u 2 biex tikseb 8.

$$sort(\frac{8}{21},\frac{69}{40},\frac{8+1}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Żid 8 u 1 biex tikseb 9.

$$sort(\frac{8}{21},\frac{69}{40},\frac{9}{2}\times \frac{1\times 4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Immultiplika 1 u 4 biex tikseb 4.

$$sort(\frac{8}{21},\frac{69}{40},\frac{9}{2}\times \frac{4+3}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Żid 4 u 3 biex tikseb 7.

$$sort(\frac{8}{21},\frac{69}{40},\frac{9}{2}\times \frac{7}{4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Immultiplika \frac{9}{2} b'\frac{7}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$sort(\frac{8}{21},\frac{69}{40},\frac{9\times 7}{2\times 4},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{9\times 7}{2\times 4}.

$$sort(\frac{8}{21},\frac{69}{40},\frac{63}{8},\frac{\frac{2\times 3+1}{3}}{\frac{5}{7}})$$

Iddividi \frac{2\times 3+1}{3} b'\frac{5}{7} billi timmultiplika \frac{2\times 3+1}{3} bir-reċiproku ta' \frac{5}{7}.

$$sort(\frac{8}{21},\frac{69}{40},\frac{63}{8},\frac{\left(2\times 3+1\right)\times 7}{3\times 5})$$

Immultiplika 2 u 3 biex tikseb 6.

$$sort(\frac{8}{21},\frac{69}{40},\frac{63}{8},\frac{\left(6+1\right)\times 7}{3\times 5})$$

Żid 6 u 1 biex tikseb 7.

$$sort(\frac{8}{21},\frac{69}{40},\frac{63}{8},\frac{7\times 7}{3\times 5})$$

Immultiplika 7 u 7 biex tikseb 49.

$$sort(\frac{8}{21},\frac{69}{40},\frac{63}{8},\frac{49}{3\times 5})$$

Immultiplika 3 u 5 biex tikseb 15.

$$sort(\frac{8}{21},\frac{69}{40},\frac{63}{8},\frac{49}{15})$$

Id-denominatur l-inqas komuni tan-numri fil-lista \frac{8}{21},\frac{69}{40},\frac{63}{8},\frac{49}{15} huwa 840. Ikkonverti n-numri fil-lista fi frazzjonijiet bid-denominatur 840.

$$\frac{320}{840},\frac{1449}{840},\frac{6615}{840},\frac{2744}{840}$$

Biex tirranġa l-lista, ibda minn element wieħed \frac{320}{840}.

$$\frac{320}{840}$$

Daħħal \frac{1449}{840} fil-post xieraq fil-lista l-ġdida.

$$\frac{320}{840},\frac{1449}{840}$$

Daħħal \frac{6615}{840} fil-post xieraq fil-lista l-ġdida.

$$\frac{320}{840},\frac{1449}{840},\frac{6615}{840}$$

Daħħal \frac{2744}{840} fil-post xieraq fil-lista l-ġdida.

$$\frac{320}{840},\frac{1449}{840},\frac{2744}{840},\frac{6615}{840}$$

Ibdel il-frazzjonijiet miksuba bil-valuri inizjali.

$$\frac{8}{21},\frac{69}{40},\frac{49}{15},\frac{63}{8}$$

Evalwa

$$\frac{8}{21},\ \frac{69}{40},\ \frac{63}{8},\ \frac{49}{15}$$