Issolvi {l}{31/5div8/5*21/10}{1div1/2divfrac{4}{3}*frac{1}{6}}

$$\left. \begin{array} { l } { 3 \frac { 1 } { 5 } \div \frac { 8 } { 5 } \times 2 \frac { 1 } { 10 } } \\ { 1 \div \frac { 1 } { 2 } \div \frac { 4 } { 3 } \times \frac { 1 } { 6 } } \end{array} \right.$$

Issortja

$$\frac{1}{4},\frac{21}{5}$$

Passi tas-Soluzzjonijiet

Iddividi \frac{3\times 5+1}{5} b'\frac{8}{5} billi timmultiplika \frac{3\times 5+1}{5} bir-reċiproku ta' \frac{8}{5}.

$$sort(\frac{\left(3\times 5+1\right)\times 5}{5\times 8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Annulla 5 fin-numeratur u d-denominatur.

$$sort(\frac{1+3\times 5}{8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Immultiplika 3 u 5 biex tikseb 15.

$$sort(\frac{1+15}{8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Żid 1 u 15 biex tikseb 16.

$$sort(\frac{16}{8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Iddividi 16 b'8 biex tikseb2.

$$sort(2\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Immultiplika 2 u 10 biex tikseb 20.

$$sort(2\times \frac{20+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Żid 20 u 1 biex tikseb 21.

$$sort(2\times \frac{21}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Esprimi 2\times \frac{21}{10} bħala frazzjoni waħda.

$$sort(\frac{2\times 21}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Immultiplika 2 u 21 biex tikseb 42.

$$sort(\frac{42}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Naqqas il-frazzjoni \frac{42}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$sort(\frac{21}{5},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Iddividi \frac{1}{\frac{1}{2}} b'\frac{4}{3} billi timmultiplika \frac{1}{\frac{1}{2}} bir-reċiproku ta' \frac{4}{3}.

$$sort(\frac{21}{5},\frac{3}{\frac{1}{2}\times 4}\times \frac{1}{6})$$

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

$$sort(\frac{21}{5},\frac{3}{\frac{4}{2}}\times \frac{1}{6})$$

Iddividi 4 b'2 biex tikseb2.

$$sort(\frac{21}{5},\frac{3}{2}\times \frac{1}{6})$$

Immultiplika \frac{3}{2} b'\frac{1}{6} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$sort(\frac{21}{5},\frac{3\times 1}{2\times 6})$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{3\times 1}{2\times 6}.

$$sort(\frac{21}{5},\frac{3}{12})$$

Naqqas il-frazzjoni \frac{3}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$sort(\frac{21}{5},\frac{1}{4})$$

Id-denominatur l-inqas komuni tan-numri fil-lista \frac{21}{5},\frac{1}{4} huwa 20. Ikkonverti n-numri fil-lista fi frazzjonijiet bid-denominatur 20.

$$\frac{84}{20},\frac{5}{20}$$

Biex tirranġa l-lista, ibda minn element wieħed \frac{84}{20}.

$$\frac{84}{20}$$

Daħħal \frac{5}{20} fil-post xieraq fil-lista l-ġdida.

$$\frac{5}{20},\frac{84}{20}$$

Ibdel il-frazzjonijiet miksuba bil-valuri inizjali.

$$\frac{1}{4},\frac{21}{5}$$

Evalwa

$$\frac{21}{5},\ \frac{1}{4}$$