Issolvi 2/3text{of}(51/6-43/8)div11/18

$$\frac { 2 } { 3 } \text { of } ( 5 \frac { 1 } { 6 } - 4 \frac { 3 } { 8 } ) \div 1 \frac { 1 } { 18 }$$

Evalwa

$$\frac{1}{2}=0.5$$

Passi tas-Soluzzjonijiet

Immultiplika 5 u 6 biex tikseb 30.

$$\frac{\frac{2}{3}\left(\frac{30+1}{6}-\frac{4\times 8+3}{8}\right)}{\frac{1\times 18+1}{18}}$$

Żid 30 u 1 biex tikseb 31.

$$\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{4\times 8+3}{8}\right)}{\frac{1\times 18+1}{18}}$$

Immultiplika 4 u 8 biex tikseb 32.

$$\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{32+3}{8}\right)}{\frac{1\times 18+1}{18}}$$

Żid 32 u 3 biex tikseb 35.

$$\frac{\frac{2}{3}\left(\frac{31}{6}-\frac{35}{8}\right)}{\frac{1\times 18+1}{18}}$$

L-inqas multipli komuni ta' 6 u 8 huwa 24. Ikkonverti \frac{31}{6} u \frac{35}{8} fi frazzjonijiet bid-denominatur 24.

$$\frac{\frac{2}{3}\left(\frac{124}{24}-\frac{105}{24}\right)}{\frac{1\times 18+1}{18}}$$

Billi \frac{124}{24} u \frac{105}{24} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{2}{3}\times \frac{124-105}{24}}{\frac{1\times 18+1}{18}}$$

Naqqas 105 minn 124 biex tikseb 19.

$$\frac{\frac{2}{3}\times \frac{19}{24}}{\frac{1\times 18+1}{18}}$$

Immultiplika \frac{2}{3} b'\frac{19}{24} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{2\times 19}{3\times 24}}{\frac{1\times 18+1}{18}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{2\times 19}{3\times 24}.

$$\frac{\frac{38}{72}}{\frac{1\times 18+1}{18}}$$

Naqqas il-frazzjoni \frac{38}{72} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{19}{36}}{\frac{1\times 18+1}{18}}$$

Immultiplika 1 u 18 biex tikseb 18.

$$\frac{\frac{19}{36}}{\frac{18+1}{18}}$$

Żid 18 u 1 biex tikseb 19.

$$\frac{\frac{19}{36}}{\frac{19}{18}}$$

Iddividi \frac{19}{36} b'\frac{19}{18} billi timmultiplika \frac{19}{36} bir-reċiproku ta' \frac{19}{18}.

$$\frac{19}{36}\times \frac{18}{19}$$

Immultiplika \frac{19}{36} b'\frac{18}{19} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{19\times 18}{36\times 19}$$

Annulla 19 fin-numeratur u d-denominatur.

$$\frac{18}{36}$$

Naqqas il-frazzjoni \frac{18}{36} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 18.

$$\frac{1}{2}$$

Fattur

$$\frac{1}{2} = 0.5$$