Issolvi 11/4+(22/3*13/4-31/6div7frac{3}{5})

$$1 \frac { 1 } { 4 } + ( 2 \frac { 2 } { 3 } \times 1 \frac { 3 } { 4 } - 3 \frac { 1 } { 6 } \div 7 \frac { 3 } { 5 } )$$

Evalwa

$$\frac{11}{2}=5.5$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{4+1}{4}+\frac{2\times 3+2}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{5}{4}+\frac{2\times 3+2}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{5}{4}+\frac{6+2}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Żid 6 u 2 biex tikseb 8.

$$\frac{5}{4}+\frac{8}{3}\times \frac{1\times 4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{5}{4}+\frac{8}{3}\times \frac{4+3}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Żid 4 u 3 biex tikseb 7.

$$\frac{5}{4}+\frac{8}{3}\times \frac{7}{4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Immultiplika \frac{8}{3} b'\frac{7}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5}{4}+\frac{8\times 7}{3\times 4}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{8\times 7}{3\times 4}.

$$\frac{5}{4}+\frac{56}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Naqqas il-frazzjoni \frac{56}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{5}{4}+\frac{14}{3}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

L-inqas multipli komuni ta' 4 u 3 huwa 12. Ikkonverti \frac{5}{4} u \frac{14}{3} fi frazzjonijiet bid-denominatur 12.

$$\frac{15}{12}+\frac{56}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Billi \frac{15}{12} u \frac{56}{12} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{15+56}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Żid 15 u 56 biex tikseb 71.

$$\frac{71}{12}-\frac{\frac{3\times 6+1}{6}}{\frac{7\times 5+3}{5}}$$

Iddividi \frac{3\times 6+1}{6} b'\frac{7\times 5+3}{5} billi timmultiplika \frac{3\times 6+1}{6} bir-reċiproku ta' \frac{7\times 5+3}{5}.

$$\frac{71}{12}-\frac{\left(3\times 6+1\right)\times 5}{6\left(7\times 5+3\right)}$$

Immultiplika 3 u 6 biex tikseb 18.

$$\frac{71}{12}-\frac{\left(18+1\right)\times 5}{6\left(7\times 5+3\right)}$$

Żid 18 u 1 biex tikseb 19.

$$\frac{71}{12}-\frac{19\times 5}{6\left(7\times 5+3\right)}$$

Immultiplika 19 u 5 biex tikseb 95.

$$\frac{71}{12}-\frac{95}{6\left(7\times 5+3\right)}$$

Immultiplika 7 u 5 biex tikseb 35.

$$\frac{71}{12}-\frac{95}{6\left(35+3\right)}$$

Żid 35 u 3 biex tikseb 38.

$$\frac{71}{12}-\frac{95}{6\times 38}$$

Immultiplika 6 u 38 biex tikseb 228.

$$\frac{71}{12}-\frac{95}{228}$$

Naqqas il-frazzjoni \frac{95}{228} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 19.

$$\frac{71}{12}-\frac{5}{12}$$

Billi \frac{71}{12} u \frac{5}{12} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{71-5}{12}$$

Naqqas 5 minn 71 biex tikseb 66.

$$\frac{66}{12}$$

Naqqas il-frazzjoni \frac{66}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\frac{11}{2}$$

Fattur

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$