Solve 3^2(5+1.2)-5.8/(frac{1{2}+5^2)div(3+2.1)}

$$\frac{ { 3 }^{ 2 } (5+1.2)-5.8 }{ ( \frac{ 1 }{ 2 } + { 5 }^{ 2 } ) \div (3+2.1) }$$

Evaluate

$$10$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9\left(5+1.2\right)-5.8}{\frac{\frac{1}{2}+5^{2}}{3+2.1}}$$

Add 5 and 1.2 to get 6.2.

$$\frac{9\times 6.2-5.8}{\frac{\frac{1}{2}+5^{2}}{3+2.1}}$$

Multiply 9 and 6.2 to get 55.8.

$$\frac{55.8-5.8}{\frac{\frac{1}{2}+5^{2}}{3+2.1}}$$

Subtract 5.8 from 55.8 to get 50.

$$\frac{50}{\frac{\frac{1}{2}+5^{2}}{3+2.1}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{50}{\frac{\frac{1}{2}+25}{3+2.1}}$$

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

$$\frac{50}{\frac{\frac{1}{2}+\frac{50}{2}}{3+2.1}}$$

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

$$\frac{50}{\frac{\frac{1+50}{2}}{3+2.1}}$$

Add 1 and 50 to get 51.

$$\frac{50}{\frac{\frac{51}{2}}{3+2.1}}$$

Add 3 and 2.1 to get 5.1.

$$\frac{50}{\frac{\frac{51}{2}}{5.1}}$$

Express \frac{\frac{51}{2}}{5.1} as a single fraction.

$$\frac{50}{\frac{51}{2\times 5.1}}$$

Multiply 2 and 5.1 to get 10.2.

$$\frac{50}{\frac{51}{10.2}}$$

Expand \frac{51}{10.2} by multiplying both numerator and the denominator by 10.

$$\frac{50}{\frac{510}{102}}$$

Divide 510 by 102 to get 5.

$$\frac{50}{5}$$

Divide 50 by 5 to get 10.

$$10$$

Factor

$$2\times 5$$