Issolvi 12/3-31/2/2frac{1{5}-32/3}=

$$\frac { 1 \frac { 2 } { 3 } - 3 \frac { 1 } { 2 } } { 2 \frac { 1 } { 5 } - 3 \frac { 2 } { 3 } } =$$

Evalwa

$$\frac{5}{4}=1.25$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 3 biex tikseb 3.

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

Żid 3 u 2 biex tikseb 5.

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

Immultiplika 3 u 2 biex tikseb 6.

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

Żid 6 u 1 biex tikseb 7.

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

L-inqas multipli komuni ta' 3 u 2 huwa 6. Ikkonverti \frac{5}{3} u \frac{7}{2} fi frazzjonijiet bid-denominatur 6.

$$\frac{\frac{10}{6}-\frac{21}{6}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}$$

Billi \frac{10}{6} u \frac{21}{6} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{10-21}{6}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}$$

Naqqas 21 minn 10 biex tikseb -11.

$$\frac{-\frac{11}{6}}{\frac{2\times 5+1}{5}-\frac{3\times 3+2}{3}}$$

Immultiplika 2 u 5 biex tikseb 10.

$$\frac{-\frac{11}{6}}{\frac{10+1}{5}-\frac{3\times 3+2}{3}}$$

Żid 10 u 1 biex tikseb 11.

$$\frac{-\frac{11}{6}}{\frac{11}{5}-\frac{3\times 3+2}{3}}$$

Immultiplika 3 u 3 biex tikseb 9.

$$\frac{-\frac{11}{6}}{\frac{11}{5}-\frac{9+2}{3}}$$

Żid 9 u 2 biex tikseb 11.

$$\frac{-\frac{11}{6}}{\frac{11}{5}-\frac{11}{3}}$$

L-inqas multipli komuni ta' 5 u 3 huwa 15. Ikkonverti \frac{11}{5} u \frac{11}{3} fi frazzjonijiet bid-denominatur 15.

$$\frac{-\frac{11}{6}}{\frac{33}{15}-\frac{55}{15}}$$

Billi \frac{33}{15} u \frac{55}{15} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-\frac{11}{6}}{\frac{33-55}{15}}$$

Naqqas 55 minn 33 biex tikseb -22.

$$\frac{-\frac{11}{6}}{-\frac{22}{15}}$$

Iddividi -\frac{11}{6} b'-\frac{22}{15} billi timmultiplika -\frac{11}{6} bir-reċiproku ta' -\frac{22}{15}.

$$-\frac{11}{6}\left(-\frac{15}{22}\right)$$

Immultiplika -\frac{11}{6} b'-\frac{15}{22} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{-11\left(-15\right)}{6\times 22}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{-11\left(-15\right)}{6\times 22}.

$$\frac{165}{132}$$

Naqqas il-frazzjoni \frac{165}{132} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 33.

$$\frac{5}{4}$$

Fattur

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$