Issolvi 7/8+11/4-3/2*frac{4/9}{2frac{1}{2}-1frac{1}{10}+frac{1}{14}*frac{7}{5}}

$$\frac { \frac { 7 } { 8 } + 1 \frac { 1 } { 4 } - \frac { 3 } { 2 } \times \frac { 4 } { 9 } } { 2 \frac { 1 } { 2 } - 1 \frac { 1 } { 10 } + \frac { 1 } { 14 } \times \frac { 7 } { 5 } }$$

Evalwa

$$\frac{35}{36}\approx 0.972222222$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 4 biex tikseb 4.

$$\frac{\frac{7}{8}+\frac{4+1}{4}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{\frac{7}{8}+\frac{5}{4}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

L-inqas multipli komuni ta' 8 u 4 huwa 8. Ikkonverti \frac{7}{8} u \frac{5}{4} fi frazzjonijiet bid-denominatur 8.

$$\frac{\frac{7}{8}+\frac{10}{8}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Billi \frac{7}{8} u \frac{10}{8} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{7+10}{8}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Żid 7 u 10 biex tikseb 17.

$$\frac{\frac{17}{8}-\frac{3}{2}\times \frac{4}{9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

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

$$\frac{\frac{17}{8}-\frac{3\times 4}{2\times 9}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

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

$$\frac{\frac{17}{8}-\frac{12}{18}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

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

$$\frac{\frac{17}{8}-\frac{2}{3}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

L-inqas multipli komuni ta' 8 u 3 huwa 24. Ikkonverti \frac{17}{8} u \frac{2}{3} fi frazzjonijiet bid-denominatur 24.

$$\frac{\frac{51}{24}-\frac{16}{24}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Billi \frac{51}{24} u \frac{16}{24} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{51-16}{24}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Naqqas 16 minn 51 biex tikseb 35.

$$\frac{\frac{35}{24}}{\frac{2\times 2+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{\frac{35}{24}}{\frac{4+1}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Żid 4 u 1 biex tikseb 5.

$$\frac{\frac{35}{24}}{\frac{5}{2}-\frac{1\times 10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Immultiplika 1 u 10 biex tikseb 10.

$$\frac{\frac{35}{24}}{\frac{5}{2}-\frac{10+1}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Żid 10 u 1 biex tikseb 11.

$$\frac{\frac{35}{24}}{\frac{5}{2}-\frac{11}{10}+\frac{1}{14}\times \frac{7}{5}}$$

L-inqas multipli komuni ta' 2 u 10 huwa 10. Ikkonverti \frac{5}{2} u \frac{11}{10} fi frazzjonijiet bid-denominatur 10.

$$\frac{\frac{35}{24}}{\frac{25}{10}-\frac{11}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Billi \frac{25}{10} u \frac{11}{10} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{35}{24}}{\frac{25-11}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Naqqas 11 minn 25 biex tikseb 14.

$$\frac{\frac{35}{24}}{\frac{14}{10}+\frac{1}{14}\times \frac{7}{5}}$$

Naqqas il-frazzjoni \frac{14}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{1}{14}\times \frac{7}{5}}$$

Immultiplika \frac{1}{14} b'\frac{7}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{1\times 7}{14\times 5}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 7}{14\times 5}.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{7}{70}}$$

Naqqas il-frazzjoni \frac{7}{70} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 7.

$$\frac{\frac{35}{24}}{\frac{7}{5}+\frac{1}{10}}$$

L-inqas multipli komuni ta' 5 u 10 huwa 10. Ikkonverti \frac{7}{5} u \frac{1}{10} fi frazzjonijiet bid-denominatur 10.

$$\frac{\frac{35}{24}}{\frac{14}{10}+\frac{1}{10}}$$

Billi \frac{14}{10} u \frac{1}{10} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{35}{24}}{\frac{14+1}{10}}$$

Żid 14 u 1 biex tikseb 15.

$$\frac{\frac{35}{24}}{\frac{15}{10}}$$

Naqqas il-frazzjoni \frac{15}{10} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{\frac{35}{24}}{\frac{3}{2}}$$

Iddividi \frac{35}{24} b'\frac{3}{2} billi timmultiplika \frac{35}{24} bir-reċiproku ta' \frac{3}{2}.

$$\frac{35}{24}\times \frac{2}{3}$$

Immultiplika \frac{35}{24} b'\frac{2}{3} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{35\times 2}{24\times 3}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{35\times 2}{24\times 3}.

$$\frac{70}{72}$$

Naqqas il-frazzjoni \frac{70}{72} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{35}{36}$$

Fattur

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3 ^ {2}} = 0.9722222222222222$$