Issolvi ((1+3/4-1/2)*3/5)/(2frac{1{3}-frac{5}{4})*frac{4}{13}}

$$\frac { ( ( 1 + \frac { 3 } { 4 } - \frac { 1 } { 2 } ) \times \frac { 3 } { 5 } ) } { ( 2 \frac { 1 } { 3 } - \frac { 5 } { 4 } ) \times \frac { 4 } { 13 } }$$

Evalwa

$$\frac{9}{4}=2.25$$

Passi tas-Soluzzjonijiet

Ikkonverti 1 fi frazzjoni \frac{4}{4}.

$$\frac{\left(\frac{4}{4}+\frac{3}{4}-\frac{1}{2}\right)\times \frac{3}{5}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

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

$$\frac{\left(\frac{4+3}{4}-\frac{1}{2}\right)\times \frac{3}{5}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

Żid 4 u 3 biex tikseb 7.

$$\frac{\left(\frac{7}{4}-\frac{1}{2}\right)\times \frac{3}{5}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

L-inqas multipli komuni ta' 4 u 2 huwa 4. Ikkonverti \frac{7}{4} u \frac{1}{2} fi frazzjonijiet bid-denominatur 4.

$$\frac{\left(\frac{7}{4}-\frac{2}{4}\right)\times \frac{3}{5}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

Billi \frac{7}{4} u \frac{2}{4} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{7-2}{4}\times \frac{3}{5}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

Naqqas 2 minn 7 biex tikseb 5.

$$\frac{\frac{5}{4}\times \frac{3}{5}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

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

$$\frac{\frac{5\times 3}{4\times 5}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

Annulla 5 fin-numeratur u d-denominatur.

$$\frac{\frac{3}{4}}{\left(\frac{2\times 3+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{\frac{3}{4}}{\left(\frac{6+1}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

Żid 6 u 1 biex tikseb 7.

$$\frac{\frac{3}{4}}{\left(\frac{7}{3}-\frac{5}{4}\right)\times \frac{4}{13}}$$

L-inqas multipli komuni ta' 3 u 4 huwa 12. Ikkonverti \frac{7}{3} u \frac{5}{4} fi frazzjonijiet bid-denominatur 12.

$$\frac{\frac{3}{4}}{\left(\frac{28}{12}-\frac{15}{12}\right)\times \frac{4}{13}}$$

Billi \frac{28}{12} u \frac{15}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{3}{4}}{\frac{28-15}{12}\times \frac{4}{13}}$$

Naqqas 15 minn 28 biex tikseb 13.

$$\frac{\frac{3}{4}}{\frac{13}{12}\times \frac{4}{13}}$$

Immultiplika \frac{13}{12} b'\frac{4}{13} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{3}{4}}{\frac{13\times 4}{12\times 13}}$$

Annulla 13 fin-numeratur u d-denominatur.

$$\frac{\frac{3}{4}}{\frac{4}{12}}$$

Naqqas il-frazzjoni \frac{4}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{\frac{3}{4}}{\frac{1}{3}}$$

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

$$\frac{3}{4}\times 3$$

Esprimi \frac{3}{4}\times 3 bħala frazzjoni waħda.

$$\frac{3\times 3}{4}$$

Immultiplika 3 u 3 biex tikseb 9.

$$\frac{9}{4}$$

Fattur

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$