Solve 3+2(4^2div5)-37+pi

$$3 + 2 ( 4 ^ { 2 } \div 5 ) - 37 + \pi$$

Evaluate

$$\pi -\frac{138}{5}\approx -24.458407346$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$3+2\times \frac{16}{5}-37+\pi$$

Express 2\times \frac{16}{5} as a single fraction.

$$3+\frac{2\times 16}{5}-37+\pi$$

Multiply 2 and 16 to get 32.

$$3+\frac{32}{5}-37+\pi$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{15}{5}+\frac{32}{5}-37+\pi$$

Since \frac{15}{5} and \frac{32}{5} have the same denominator, add them by adding their numerators.

$$\frac{15+32}{5}-37+\pi$$

Add 15 and 32 to get 47.

$$\frac{47}{5}-37+\pi$$

Convert 37 to fraction \frac{185}{5}.

$$\frac{47}{5}-\frac{185}{5}+\pi$$

Since \frac{47}{5} and \frac{185}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-185}{5}+\pi$$

Subtract 185 from 47 to get -138.

$$-\frac{138}{5}+\pi$$

Factor

$$\frac{5 \pi - 138}{5} = -24.458407346410205$$