Issolvi 1+1/2/3+1-frac{1/3/2}{frac{2^1/2}{5/6}--frac{1/3}{1/8}}*(23^1/2divfrac{47}{12})

$$\frac { \frac { 1 + \frac { 1 } { 2 } } { 3 } + \frac { 1 - \frac { 1 } { 3 } } { 2 } } { \frac { 2 ^ { 1 } / 2 } { 5 / 6 } - - \frac { 1 / 3 } { 1 / 8 } } \times ( 23 ^ { 1 } / 2 \div \frac { 47 } { 12 } )$$

Evalwa

$$\frac{1725}{2726}\approx 0.632795304$$

Passi tas-Soluzzjonijiet

Iddividi 2^{1} b'2 biex tikseb1.

$$\frac{\frac{1+\frac{1}{2}}{3}+\frac{1-\frac{1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Ikkonverti 1 fi frazzjoni \frac{2}{2}.

$$\frac{\frac{\frac{2}{2}+\frac{1}{2}}{3}+\frac{1-\frac{1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

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

$$\frac{\frac{\frac{2+1}{2}}{3}+\frac{1-\frac{1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Żid 2 u 1 biex tikseb 3.

$$\frac{\frac{\frac{3}{2}}{3}+\frac{1-\frac{1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Esprimi \frac{\frac{3}{2}}{3} bħala frazzjoni waħda.

$$\frac{\frac{3}{2\times 3}+\frac{1-\frac{1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\frac{1}{2}+\frac{1-\frac{1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Ikkonverti 1 fi frazzjoni \frac{3}{3}.

$$\frac{\frac{1}{2}+\frac{\frac{3}{3}-\frac{1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Billi \frac{3}{3} u \frac{1}{3} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{1}{2}+\frac{\frac{3-1}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Naqqas 1 minn 3 biex tikseb 2.

$$\frac{\frac{1}{2}+\frac{\frac{2}{3}}{2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Esprimi \frac{\frac{2}{3}}{2} bħala frazzjoni waħda.

$$\frac{\frac{1}{2}+\frac{2}{3\times 2}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

L-inqas multipli komuni ta' 2 u 3 huwa 6. Ikkonverti \frac{1}{2} u \frac{1}{3} fi frazzjonijiet bid-denominatur 6.

$$\frac{\frac{3}{6}+\frac{2}{6}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Billi \frac{3}{6} u \frac{2}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{3+2}{6}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Żid 3 u 2 biex tikseb 5.

$$\frac{\frac{5}{6}}{\frac{1}{\frac{5}{6}}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Iddividi 1 b'\frac{5}{6} billi timmultiplika 1 bir-reċiproku ta' \frac{5}{6}.

$$\frac{\frac{5}{6}}{1\times \frac{6}{5}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Immultiplika 1 u \frac{6}{5} biex tikseb \frac{6}{5}.

$$\frac{\frac{5}{6}}{\frac{6}{5}-\left(-\frac{\frac{1}{3}}{\frac{1}{8}}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Iddividi \frac{1}{3} b'\frac{1}{8} billi timmultiplika \frac{1}{3} bir-reċiproku ta' \frac{1}{8}.

$$\frac{\frac{5}{6}}{\frac{6}{5}-\left(-\frac{1}{3}\times 8\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Immultiplika \frac{1}{3} u 8 biex tikseb \frac{8}{3}.

$$\frac{\frac{5}{6}}{\frac{6}{5}-\left(-\frac{8}{3}\right)}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

L-oppost ta' -\frac{8}{3} huwa \frac{8}{3}.

$$\frac{\frac{5}{6}}{\frac{6}{5}+\frac{8}{3}}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

L-inqas multipli komuni ta' 5 u 3 huwa 15. Ikkonverti \frac{6}{5} u \frac{8}{3} fi frazzjonijiet bid-denominatur 15.

$$\frac{\frac{5}{6}}{\frac{18}{15}+\frac{40}{15}}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Billi \frac{18}{15} u \frac{40}{15} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\frac{5}{6}}{\frac{18+40}{15}}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Żid 18 u 40 biex tikseb 58.

$$\frac{\frac{5}{6}}{\frac{58}{15}}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Iddividi \frac{5}{6} b'\frac{58}{15} billi timmultiplika \frac{5}{6} bir-reċiproku ta' \frac{58}{15}.

$$\frac{5}{6}\times \frac{15}{58}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Immultiplika \frac{5}{6} b'\frac{15}{58} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5\times 15}{6\times 58}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{5\times 15}{6\times 58}.

$$\frac{75}{348}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Naqqas il-frazzjoni \frac{75}{348} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{25}{116}\times \frac{\frac{23^{1}}{2}}{\frac{47}{12}}$$

Iddividi \frac{23^{1}}{2} b'\frac{47}{12} billi timmultiplika \frac{23^{1}}{2} bir-reċiproku ta' \frac{47}{12}.

$$\frac{25}{116}\times \frac{23^{1}\times 12}{2\times 47}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{25}{116}\times \frac{6\times 23^{1}}{47}$$

Ikkalkula 23 bil-power ta' 1 u tikseb 23.

$$\frac{25}{116}\times \frac{6\times 23}{47}$$

Immultiplika 6 u 23 biex tikseb 138.

$$\frac{25}{116}\times \frac{138}{47}$$

Immultiplika \frac{25}{116} b'\frac{138}{47} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{25\times 138}{116\times 47}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{25\times 138}{116\times 47}.

$$\frac{3450}{5452}$$

Naqqas il-frazzjoni \frac{3450}{5452} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{1725}{2726}$$

Fattur

$$\frac{3 \cdot 5 ^ {2} \cdot 23}{2 \cdot 29 \cdot 47} = 0.6327953044754219$$