Issolvi (14/5-33/8)div(-3/4)^2

$$( 1 \frac { 4 } { 5 } - 3 \frac { 3 } { 8 } ) \div ( - \frac { 3 } { 4 } ) ^ { 2 }$$

Evalwa

$$-\frac{14}{5}=-2.8$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 5 biex tikseb 5.

$$\frac{\frac{5+4}{5}-\frac{3\times 8+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

Żid 5 u 4 biex tikseb 9.

$$\frac{\frac{9}{5}-\frac{3\times 8+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

Immultiplika 3 u 8 biex tikseb 24.

$$\frac{\frac{9}{5}-\frac{24+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

Żid 24 u 3 biex tikseb 27.

$$\frac{\frac{9}{5}-\frac{27}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

L-inqas multipli komuni ta' 5 u 8 huwa 40. Ikkonverti \frac{9}{5} u \frac{27}{8} fi frazzjonijiet bid-denominatur 40.

$$\frac{\frac{72}{40}-\frac{135}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

Billi \frac{72}{40} u \frac{135}{40} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{72-135}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

Naqqas 135 minn 72 biex tikseb -63.

$$\frac{-\frac{63}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

Ikkalkula -\frac{3}{4} bil-power ta' 2 u tikseb \frac{9}{16}.

$$\frac{-\frac{63}{40}}{\frac{9}{16}}$$

Iddividi -\frac{63}{40} b'\frac{9}{16} billi timmultiplika -\frac{63}{40} bir-reċiproku ta' \frac{9}{16}.

$$-\frac{63}{40}\times \frac{16}{9}$$

Immultiplika -\frac{63}{40} b'\frac{16}{9} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{-63\times 16}{40\times 9}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{-63\times 16}{40\times 9}.

$$\frac{-1008}{360}$$

Naqqas il-frazzjoni \frac{-1008}{360} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 72.

$$-\frac{14}{5}$$

Fattur

$$-\frac{14}{5} = -2\frac{4}{5} = -2.8$$