Issolvi 3^2(5+12)-58/(frac{1{2}+5^2)div(3+21)}

$$\frac{ { 3 }^{ 2 } (5+12)-58 }{ ( \frac{ 1 }{ 2 } + { 5 }^{ 2 } ) \div (3+21) }$$

Evalwa

$$\frac{1520}{17}\approx 89.411764706$$

Passi tas-Soluzzjonijiet

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$\frac{9\left(5+12\right)-58}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

Żid 5 u 12 biex tikseb 17.

$$\frac{9\times 17-58}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

Immultiplika 9 u 17 biex tikseb 153.

$$\frac{153-58}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

Naqqas 58 minn 153 biex tikseb 95.

$$\frac{95}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$\frac{95}{\frac{\frac{1}{2}+25}{3+21}}$$

Ikkonverti 25 fi frazzjoni \frac{50}{2}.

$$\frac{95}{\frac{\frac{1}{2}+\frac{50}{2}}{3+21}}$$

Billi \frac{1}{2} u \frac{50}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{95}{\frac{\frac{1+50}{2}}{3+21}}$$

Żid 1 u 50 biex tikseb 51.

$$\frac{95}{\frac{\frac{51}{2}}{3+21}}$$

Żid 3 u 21 biex tikseb 24.

$$\frac{95}{\frac{\frac{51}{2}}{24}}$$

Esprimi \frac{\frac{51}{2}}{24} bħala frazzjoni waħda.

$$\frac{95}{\frac{51}{2\times 24}}$$

Immultiplika 2 u 24 biex tikseb 48.

$$\frac{95}{\frac{51}{48}}$$

Naqqas il-frazzjoni \frac{51}{48} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

$$\frac{95}{\frac{17}{16}}$$

Iddividi 95 b'\frac{17}{16} billi timmultiplika 95 bir-reċiproku ta' \frac{17}{16}.

$$95\times \frac{16}{17}$$

Esprimi 95\times \frac{16}{17} bħala frazzjoni waħda.

$$\frac{95\times 16}{17}$$

Immultiplika 95 u 16 biex tikseb 1520.

$$\frac{1520}{17}$$

Fattur

$$\frac{2 ^ {4} \cdot 5 \cdot 19}{17} = 89\frac{7}{17} = 89.41176470588235$$