Issolvi 41/2-32/3+1/4/2-1/5

$$\frac { 4 \frac { 1 } { 2 } - 3 \frac { 2 } { 3 } + 1 / 4 } { 2 - 1 / 5 }$$

Evalwa

$$\frac{65}{108}\approx 0.601851852$$

Passi tas-Soluzzjonijiet

Immultiplika 4 u 2 biex tikseb 8.

$$\frac{\frac{8+1}{2}-\frac{3\times 3+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

Żid 8 u 1 biex tikseb 9.

$$\frac{\frac{9}{2}-\frac{3\times 3+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

Immultiplika 3 u 3 biex tikseb 9.

$$\frac{\frac{9}{2}-\frac{9+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

Żid 9 u 2 biex tikseb 11.

$$\frac{\frac{9}{2}-\frac{11}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

L-inqas multipli komuni ta' 2 u 3 huwa 6. Ikkonverti \frac{9}{2} u \frac{11}{3} fi frazzjonijiet bid-denominatur 6.

$$\frac{\frac{27}{6}-\frac{22}{6}+\frac{1}{4}}{2-\frac{1}{5}}$$

Billi \frac{27}{6} u \frac{22}{6} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{27-22}{6}+\frac{1}{4}}{2-\frac{1}{5}}$$

Naqqas 22 minn 27 biex tikseb 5.

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

L-inqas multipli komuni ta' 6 u 4 huwa 12. Ikkonverti \frac{5}{6} u \frac{1}{4} fi frazzjonijiet bid-denominatur 12.

$$\frac{\frac{10}{12}+\frac{3}{12}}{2-\frac{1}{5}}$$

Billi \frac{10}{12} u \frac{3}{12} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{10+3}{12}}{2-\frac{1}{5}}$$

Żid 10 u 3 biex tikseb 13.

$$\frac{\frac{13}{12}}{2-\frac{1}{5}}$$

Ikkonverti 2 fi frazzjoni \frac{10}{5}.

$$\frac{\frac{13}{12}}{\frac{10}{5}-\frac{1}{5}}$$

Billi \frac{10}{5} u \frac{1}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{13}{12}}{\frac{10-1}{5}}$$

Naqqas 1 minn 10 biex tikseb 9.

$$\frac{\frac{13}{12}}{\frac{9}{5}}$$

Iddividi \frac{13}{12} b'\frac{9}{5} billi timmultiplika \frac{13}{12} bir-reċiproku ta' \frac{9}{5}.

$$\frac{13}{12}\times \frac{5}{9}$$

Immultiplika \frac{13}{12} b'\frac{5}{9} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{13\times 5}{12\times 9}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{13\times 5}{12\times 9}.

$$\frac{65}{108}$$

Fattur

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3 ^ {3}} = 0.6018518518518519$$