Issolvi (12/3+41/2+25/6):(43/10+3frac{1}{5}+1frac{7}{20})

$$( 1 \frac { 2 } { 3 } + 4 \frac { 1 } { 2 } + 2 \frac { 5 } { 6 } ) : ( 4 \frac { 3 } { 10 } + 3 \frac { 1 } { 5 } + 1 \frac { 7 } { 20 } )$$

Evalwa

$$\frac{60}{59}\approx 1.016949153$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 3 biex tikseb 3.

$$\frac{\frac{3+2}{3}+\frac{4\times 2+1}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Żid 3 u 2 biex tikseb 5.

$$\frac{\frac{5}{3}+\frac{4\times 2+1}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Immultiplika 4 u 2 biex tikseb 8.

$$\frac{\frac{5}{3}+\frac{8+1}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Żid 8 u 1 biex tikseb 9.

$$\frac{\frac{5}{3}+\frac{9}{2}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

L-inqas multipli komuni ta' 3 u 2 huwa 6. Ikkonverti \frac{5}{3} u \frac{9}{2} fi frazzjonijiet bid-denominatur 6.

$$\frac{\frac{10}{6}+\frac{27}{6}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Billi \frac{10}{6} u \frac{27}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{10+27}{6}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Żid 10 u 27 biex tikseb 37.

$$\frac{\frac{37}{6}+\frac{2\times 6+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Immultiplika 2 u 6 biex tikseb 12.

$$\frac{\frac{37}{6}+\frac{12+5}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Żid 12 u 5 biex tikseb 17.

$$\frac{\frac{37}{6}+\frac{17}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Billi \frac{37}{6} u \frac{17}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{37+17}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Żid 37 u 17 biex tikseb 54.

$$\frac{\frac{54}{6}}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Iddividi 54 b'6 biex tikseb9.

$$\frac{9}{\frac{4\times 10+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Immultiplika 4 u 10 biex tikseb 40.

$$\frac{9}{\frac{40+3}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Żid 40 u 3 biex tikseb 43.

$$\frac{9}{\frac{43}{10}+\frac{3\times 5+1}{5}+\frac{1\times 20+7}{20}}$$

Immultiplika 3 u 5 biex tikseb 15.

$$\frac{9}{\frac{43}{10}+\frac{15+1}{5}+\frac{1\times 20+7}{20}}$$

Żid 15 u 1 biex tikseb 16.

$$\frac{9}{\frac{43}{10}+\frac{16}{5}+\frac{1\times 20+7}{20}}$$

L-inqas multipli komuni ta' 10 u 5 huwa 10. Ikkonverti \frac{43}{10} u \frac{16}{5} fi frazzjonijiet bid-denominatur 10.

$$\frac{9}{\frac{43}{10}+\frac{32}{10}+\frac{1\times 20+7}{20}}$$

Billi \frac{43}{10} u \frac{32}{10} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{9}{\frac{43+32}{10}+\frac{1\times 20+7}{20}}$$

Żid 43 u 32 biex tikseb 75.

$$\frac{9}{\frac{75}{10}+\frac{1\times 20+7}{20}}$$

Naqqas il-frazzjoni \frac{75}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{9}{\frac{15}{2}+\frac{1\times 20+7}{20}}$$

Immultiplika 1 u 20 biex tikseb 20.

$$\frac{9}{\frac{15}{2}+\frac{20+7}{20}}$$

Żid 20 u 7 biex tikseb 27.

$$\frac{9}{\frac{15}{2}+\frac{27}{20}}$$

L-inqas multipli komuni ta' 2 u 20 huwa 20. Ikkonverti \frac{15}{2} u \frac{27}{20} fi frazzjonijiet bid-denominatur 20.

$$\frac{9}{\frac{150}{20}+\frac{27}{20}}$$

Billi \frac{150}{20} u \frac{27}{20} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{9}{\frac{150+27}{20}}$$

Żid 150 u 27 biex tikseb 177.

$$\frac{9}{\frac{177}{20}}$$

Iddividi 9 b'\frac{177}{20} billi timmultiplika 9 bir-reċiproku ta' \frac{177}{20}.

$$9\times \frac{20}{177}$$

Esprimi 9\times \frac{20}{177} bħala frazzjoni waħda.

$$\frac{9\times 20}{177}$$

Immultiplika 9 u 20 biex tikseb 180.

$$\frac{180}{177}$$

Naqqas il-frazzjoni \frac{180}{177} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{60}{59}$$

Fattur

$$\frac{2 ^ {2} \cdot 3 \cdot 5}{59} = 1\frac{1}{59} = 1.0169491525423728$$