Issolvi 3-frac{1/4/frac{1{2}}-2-1/5/frac{1{3}}}{3-frac{1}{2}}*(frac{3}{4}+frac{1}{25})

$$\frac { \frac { 3 - \frac { 1 } { 4 } } { \frac { 1 } { 2 } } - \frac { 2 - \frac { 1 } { 5 } } { \frac { 1 } { 3 } } } { 3 - \frac { 1 } { 2 } } \times ( \frac { 3 } { 4 } + \frac { 1 } { 25 } )$$

Evalwa

$$\frac{79}{2500}=0.0316$$

Passi tas-Soluzzjonijiet

Ikkonverti 3 fi frazzjoni \frac{12}{4}.

$$\frac{\frac{\frac{12}{4}-\frac{1}{4}}{\frac{1}{2}}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Billi \frac{12}{4} u \frac{1}{4} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{\frac{12-1}{4}}{\frac{1}{2}}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Naqqas 1 minn 12 biex tikseb 11.

$$\frac{\frac{\frac{11}{4}}{\frac{1}{2}}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Iddividi \frac{11}{4} b'\frac{1}{2} billi timmultiplika \frac{11}{4} bir-reċiproku ta' \frac{1}{2}.

$$\frac{\frac{11}{4}\times 2-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Esprimi \frac{11}{4}\times 2 bħala frazzjoni waħda.

$$\frac{\frac{11\times 2}{4}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Immultiplika 11 u 2 biex tikseb 22.

$$\frac{\frac{22}{4}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Naqqas il-frazzjoni \frac{22}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{11}{2}-\frac{2-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Ikkonverti 2 fi frazzjoni \frac{10}{5}.

$$\frac{\frac{11}{2}-\frac{\frac{10}{5}-\frac{1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Billi \frac{10}{5} u \frac{1}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{11}{2}-\frac{\frac{10-1}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Naqqas 1 minn 10 biex tikseb 9.

$$\frac{\frac{11}{2}-\frac{\frac{9}{5}}{\frac{1}{3}}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Iddividi \frac{9}{5} b'\frac{1}{3} billi timmultiplika \frac{9}{5} bir-reċiproku ta' \frac{1}{3}.

$$\frac{\frac{11}{2}-\frac{9}{5}\times 3}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Esprimi \frac{9}{5}\times 3 bħala frazzjoni waħda.

$$\frac{\frac{11}{2}-\frac{9\times 3}{5}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Immultiplika 9 u 3 biex tikseb 27.

$$\frac{\frac{11}{2}-\frac{27}{5}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

L-inqas multipli komuni ta' 2 u 5 huwa 10. Ikkonverti \frac{11}{2} u \frac{27}{5} fi frazzjonijiet bid-denominatur 10.

$$\frac{\frac{55}{10}-\frac{54}{10}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Billi \frac{55}{10} u \frac{54}{10} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{55-54}{10}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Naqqas 54 minn 55 biex tikseb 1.

$$\frac{\frac{1}{10}}{3-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Ikkonverti 3 fi frazzjoni \frac{6}{2}.

$$\frac{\frac{1}{10}}{\frac{6}{2}-\frac{1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Billi \frac{6}{2} u \frac{1}{2} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{1}{10}}{\frac{6-1}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Naqqas 1 minn 6 biex tikseb 5.

$$\frac{\frac{1}{10}}{\frac{5}{2}}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Iddividi \frac{1}{10} b'\frac{5}{2} billi timmultiplika \frac{1}{10} bir-reċiproku ta' \frac{5}{2}.

$$\frac{1}{10}\times \frac{2}{5}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Immultiplika \frac{1}{10} b'\frac{2}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1\times 2}{10\times 5}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 2}{10\times 5}.

$$\frac{2}{50}\left(\frac{3}{4}+\frac{1}{25}\right)$$

Naqqas il-frazzjoni \frac{2}{50} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1}{25}\left(\frac{3}{4}+\frac{1}{25}\right)$$

L-inqas multipli komuni ta' 4 u 25 huwa 100. Ikkonverti \frac{3}{4} u \frac{1}{25} fi frazzjonijiet bid-denominatur 100.

$$\frac{1}{25}\left(\frac{75}{100}+\frac{4}{100}\right)$$

Billi \frac{75}{100} u \frac{4}{100} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1}{25}\times \frac{75+4}{100}$$

Żid 75 u 4 biex tikseb 79.

$$\frac{1}{25}\times \frac{79}{100}$$

Immultiplika \frac{1}{25} b'\frac{79}{100} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{1\times 79}{25\times 100}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 79}{25\times 100}.

$$\frac{79}{2500}$$

Fattur

$$\frac{79}{2 ^ {2} \cdot 5 ^ {4}} = 0.0316$$