Issolvi [194/900-244/99]*(3/7-(-5/2))

$$[ \frac { 194 } { 900 } - \frac { 244 } { 99 } ] \cdot ( \frac { 3 } { 7 } - ( - \frac { 5 } { 2 } ) )$$

Evalwa

$$-\frac{50717}{7700}\approx -6.586623377$$

Passi tas-Soluzzjonijiet

Naqqas il-frazzjoni \frac{194}{900} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\left(\frac{97}{450}-\frac{244}{99}\right)\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

L-inqas multipli komuni ta' 450 u 99 huwa 4950. Ikkonverti \frac{97}{450} u \frac{244}{99} fi frazzjonijiet bid-denominatur 4950.

$$\left(\frac{1067}{4950}-\frac{12200}{4950}\right)\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Billi \frac{1067}{4950} u \frac{12200}{4950} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{1067-12200}{4950}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Naqqas 12200 minn 1067 biex tikseb -11133.

$$\frac{-11133}{4950}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Naqqas il-frazzjoni \frac{-11133}{4950} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 9.

$$-\frac{1237}{550}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

L-oppost ta' -\frac{5}{2} huwa \frac{5}{2}.

$$-\frac{1237}{550}\left(\frac{3}{7}+\frac{5}{2}\right)$$

L-inqas multipli komuni ta' 7 u 2 huwa 14. Ikkonverti \frac{3}{7} u \frac{5}{2} fi frazzjonijiet bid-denominatur 14.

$$-\frac{1237}{550}\left(\frac{6}{14}+\frac{35}{14}\right)$$

Billi \frac{6}{14} u \frac{35}{14} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$-\frac{1237}{550}\times \frac{6+35}{14}$$

Żid 6 u 35 biex tikseb 41.

$$-\frac{1237}{550}\times \frac{41}{14}$$

Immultiplika -\frac{1237}{550} b'\frac{41}{14} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{-1237\times 41}{550\times 14}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{-1237\times 41}{550\times 14}.

$$\frac{-50717}{7700}$$

Frazzjoni \frac{-50717}{7700} tista' tinkiteb mill-ġdid bħala -\frac{50717}{7700} bl-estrazzjoni tas-sinjal negattiv.

$$-\frac{50717}{7700}$$

Fattur

$$-\frac{50717}{7700} = -6\frac{4517}{7700} = -6.586623376623376$$