Issolvi (5/8+2/5)div35/12*11/2*2

$$( \frac { 5 } { 8 } + \frac { 2 } { 5 } ) \div 3 \frac { 5 } { 12 } \times 1 \frac { 1 } { 2 } \times 2$$

Evalwa

$$\frac{9}{10}=0.9$$

Passi tas-Soluzzjonijiet

L-inqas multipli komuni ta' 8 u 5 huwa 40. Ikkonverti \frac{5}{8} u \frac{2}{5} fi frazzjonijiet bid-denominatur 40.

$$\frac{\frac{25}{40}+\frac{16}{40}}{\frac{3\times 12+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

Billi \frac{25}{40} u \frac{16}{40} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{25+16}{40}}{\frac{3\times 12+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

Żid 25 u 16 biex tikseb 41.

$$\frac{\frac{41}{40}}{\frac{3\times 12+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

Immultiplika 3 u 12 biex tikseb 36.

$$\frac{\frac{41}{40}}{\frac{36+5}{12}}\times \frac{1\times 2+1}{2}\times 2$$

Żid 36 u 5 biex tikseb 41.

$$\frac{\frac{41}{40}}{\frac{41}{12}}\times \frac{1\times 2+1}{2}\times 2$$

Iddividi \frac{41}{40} b'\frac{41}{12} billi timmultiplika \frac{41}{40} bir-reċiproku ta' \frac{41}{12}.

$$\frac{41}{40}\times \frac{12}{41}\times \frac{1\times 2+1}{2}\times 2$$

Immultiplika \frac{41}{40} b'\frac{12}{41} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{41\times 12}{40\times 41}\times \frac{1\times 2+1}{2}\times 2$$

Annulla 41 fin-numeratur u d-denominatur.

$$\frac{12}{40}\times \frac{1\times 2+1}{2}\times 2$$

Naqqas il-frazzjoni \frac{12}{40} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{3}{10}\times \frac{1\times 2+1}{2}\times 2$$

Immultiplika 1 u 2 biex tikseb 2.

$$\frac{3}{10}\times \frac{2+1}{2}\times 2$$

Żid 2 u 1 biex tikseb 3.

$$\frac{3}{10}\times \frac{3}{2}\times 2$$

Immultiplika \frac{3}{10} b'\frac{3}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{3\times 3}{10\times 2}\times 2$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{3\times 3}{10\times 2}.

$$\frac{9}{20}\times 2$$

Esprimi \frac{9}{20}\times 2 bħala frazzjoni waħda.

$$\frac{9\times 2}{20}$$

Immultiplika 9 u 2 biex tikseb 18.

$$\frac{18}{20}$$

Naqqas il-frazzjoni \frac{18}{20} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{9}{10}$$

Fattur

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$