Issolvi (2/7*12/3+1/7*2/3)div(frac{2}{3}*2frac{1}{4}+frac{2}{3}*frac{3}{4})

$$( \frac { 2 } { 7 } \times 1 \frac { 2 } { 3 } + \frac { 1 } { 7 } \times \frac { 2 } { 3 } ) \div ( \frac { 2 } { 3 } \times 2 \frac { 1 } { 4 } + \frac { 2 } { 3 } \times \frac { 3 } { 4 } )$$

Evalwa

$$\frac{2}{7}\approx 0.285714286$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 3 biex tikseb 3.

$$\frac{\frac{2}{7}\times \frac{3+2}{3}+\frac{1}{7}\times \frac{2}{3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Żid 3 u 2 biex tikseb 5.

$$\frac{\frac{2}{7}\times \frac{5}{3}+\frac{1}{7}\times \frac{2}{3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Immultiplika \frac{2}{7} b'\frac{5}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{2\times 5}{7\times 3}+\frac{1}{7}\times \frac{2}{3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{2\times 5}{7\times 3}.

$$\frac{\frac{10}{21}+\frac{1}{7}\times \frac{2}{3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Immultiplika \frac{1}{7} b'\frac{2}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{10}{21}+\frac{1\times 2}{7\times 3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 2}{7\times 3}.

$$\frac{\frac{10}{21}+\frac{2}{21}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Billi \frac{10}{21} u \frac{2}{21} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{10+2}{21}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Żid 10 u 2 biex tikseb 12.

$$\frac{\frac{12}{21}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Naqqas il-frazzjoni \frac{12}{21} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{\frac{4}{7}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Immultiplika 2 u 4 biex tikseb 8.

$$\frac{\frac{4}{7}}{\frac{2}{3}\times \frac{8+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Żid 8 u 1 biex tikseb 9.

$$\frac{\frac{4}{7}}{\frac{2}{3}\times \frac{9}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Immultiplika \frac{2}{3} b'\frac{9}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{4}{7}}{\frac{2\times 9}{3\times 4}+\frac{2}{3}\times \frac{3}{4}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{2\times 9}{3\times 4}.

$$\frac{\frac{4}{7}}{\frac{18}{12}+\frac{2}{3}\times \frac{3}{4}}$$

Naqqas il-frazzjoni \frac{18}{12} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{2}{3}\times \frac{3}{4}}$$

Immultiplika \frac{2}{3} b'\frac{3}{4} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{2\times 3}{3\times 4}}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{2}{4}}$$

Naqqas il-frazzjoni \frac{2}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{1}{2}}$$

Billi \frac{3}{2} u \frac{1}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{4}{7}}{\frac{3+1}{2}}$$

Żid 3 u 1 biex tikseb 4.

$$\frac{\frac{4}{7}}{\frac{4}{2}}$$

Iddividi 4 b'2 biex tikseb2.

$$\frac{\frac{4}{7}}{2}$$

Esprimi \frac{\frac{4}{7}}{2} bħala frazzjoni waħda.

$$\frac{4}{7\times 2}$$

Immultiplika 7 u 2 biex tikseb 14.

$$\frac{4}{14}$$

Naqqas il-frazzjoni \frac{4}{14} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{2}{7}$$

Fattur

$$\frac{2}{7} = 0.2857142857142857$$