Issolvi ((23/9div3)^-2/94^2*frac{2/5})

$$( \frac { ( 2 \frac { 3 } { 9 } \div 3 ) ^ { - 2 } } { \frac { 9 } { 4 } ^ { 2 } \cdot \frac { 2 } { 5 } } )$$

Evalwa

$$\frac{40}{49}\approx 0.816326531$$

Passi tas-Soluzzjonijiet

Esprimi \frac{\frac{2\times 9+3}{9}}{3} bħala frazzjoni waħda.

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

Immultiplika 2 u 9 biex tikseb 18.

$$\frac{\left(\frac{18+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Żid 18 u 3 biex tikseb 21.

$$\frac{\left(\frac{21}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Immultiplika 9 u 3 biex tikseb 27.

$$\frac{\left(\frac{21}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Naqqas il-frazzjoni \frac{21}{27} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{\left(\frac{7}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Ikkalkula \frac{7}{9} bil-power ta' -2 u tikseb \frac{81}{49}.

$$\frac{\frac{81}{49}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Ikkalkula \frac{9}{4} bil-power ta' 2 u tikseb \frac{81}{16}.

$$\frac{\frac{81}{49}}{\frac{81}{16}\times \frac{2}{5}}$$

Immultiplika \frac{81}{16} u \frac{2}{5} biex tikseb \frac{81}{40}.

$$\frac{\frac{81}{49}}{\frac{81}{40}}$$

Iddividi \frac{81}{49} b'\frac{81}{40} billi timmultiplika \frac{81}{49} bir-reċiproku ta' \frac{81}{40}.

$$\frac{81}{49}\times \frac{40}{81}$$

Immultiplika \frac{81}{49} u \frac{40}{81} biex tikseb \frac{40}{49}.

$$\frac{40}{49}$$

Fattur

$$\frac{2 ^ {3} \cdot 5}{7 ^ {2}} = 0.8163265306122449$$