Issolvi 46/35*1frac{1{3}-51/2div32/3+37}=

$$\frac { 46 } { 35 \times 1 \frac { 1 } { 3 } - 5 \frac { 1 } { 2 } \div 3 \frac { 2 } { 3 } + 37 } =$$

Evalwa

$$\frac{276}{493}\approx 0.559837728$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 3 biex tikseb 3.

$$\frac{46}{35\times \frac{3+1}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Żid 3 u 1 biex tikseb 4.

$$\frac{46}{35\times \frac{4}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Esprimi 35\times \frac{4}{3} bħala frazzjoni waħda.

$$\frac{46}{\frac{35\times 4}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Immultiplika 35 u 4 biex tikseb 140.

$$\frac{46}{\frac{140}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

Iddividi \frac{5\times 2+1}{2} b'\frac{3\times 3+2}{3} billi timmultiplika \frac{5\times 2+1}{2} bir-reċiproku ta' \frac{3\times 3+2}{3}.

$$\frac{46}{\frac{140}{3}-\frac{\left(5\times 2+1\right)\times 3}{2\left(3\times 3+2\right)}+37}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{46}{\frac{140}{3}-\frac{\left(10+1\right)\times 3}{2\left(3\times 3+2\right)}+37}$$

Żid 10 u 1 biex tikseb 11.

$$\frac{46}{\frac{140}{3}-\frac{11\times 3}{2\left(3\times 3+2\right)}+37}$$

Immultiplika 11 u 3 biex tikseb 33.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\left(3\times 3+2\right)}+37}$$

Immultiplika 3 u 3 biex tikseb 9.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\left(9+2\right)}+37}$$

Żid 9 u 2 biex tikseb 11.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\times 11}+37}$$

Immultiplika 2 u 11 biex tikseb 22.

$$\frac{46}{\frac{140}{3}-\frac{33}{22}+37}$$

Naqqas il-frazzjoni \frac{33}{22} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 11.

$$\frac{46}{\frac{140}{3}-\frac{3}{2}+37}$$

L-inqas multipli komuni ta' 3 u 2 huwa 6. Ikkonverti \frac{140}{3} u \frac{3}{2} fi frazzjonijiet bid-denominatur 6.

$$\frac{46}{\frac{280}{6}-\frac{9}{6}+37}$$

Billi \frac{280}{6} u \frac{9}{6} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{46}{\frac{280-9}{6}+37}$$

Naqqas 9 minn 280 biex tikseb 271.

$$\frac{46}{\frac{271}{6}+37}$$

Ikkonverti 37 fi frazzjoni \frac{222}{6}.

$$\frac{46}{\frac{271}{6}+\frac{222}{6}}$$

Billi \frac{271}{6} u \frac{222}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{46}{\frac{271+222}{6}}$$

Żid 271 u 222 biex tikseb 493.

$$\frac{46}{\frac{493}{6}}$$

Iddividi 46 b'\frac{493}{6} billi timmultiplika 46 bir-reċiproku ta' \frac{493}{6}.

$$46\times \frac{6}{493}$$

Esprimi 46\times \frac{6}{493} bħala frazzjoni waħda.

$$\frac{46\times 6}{493}$$

Immultiplika 46 u 6 biex tikseb 276.

$$\frac{276}{493}$$

Fattur

$$\frac{2 ^ {2} \cdot 3 \cdot 23}{17 \cdot 29} = 0.5598377281947262$$