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

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

Evaluate

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

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Add 5 and 12 to get 17.

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

Multiply 9 and 17 to get 153.

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

Subtract 58 from 153 to get 95.

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

Calculate 5 to the power of 2 and get 25.

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

Convert 25 to fraction \frac{50}{2}.

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

Since \frac{1}{2} and \frac{50}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 50 to get 51.

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

Add 3 and 21 to get 24.

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

Express \frac{\frac{51}{2}}{24} as a single fraction.

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

Multiply 2 and 24 to get 48.

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

Reduce the fraction \frac{51}{48} to lowest terms by extracting and canceling out 3.

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

Divide 95 by \frac{17}{16} by multiplying 95 by the reciprocal of \frac{17}{16}.

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

Express 95\times \frac{16}{17} as a single fraction.

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

Multiply 95 and 16 to get 1520.

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

Factor

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