Solve ((3/4)12)+(1/5)(12^3)

$$(( \frac{ 3 }{ 4 } )12)+( \frac{ 1 }{ 5 } )( { 12 }^{ 3 } )$$

Evaluate

$$\frac{1773}{5}=354.6$$

Solution Steps

Express \frac{3}{4}\times 12 as a single fraction.

$$\frac{3\times 12}{4}+\frac{1}{5}\times 12^{3}$$

Multiply 3 and 12 to get 36.

$$\frac{36}{4}+\frac{1}{5}\times 12^{3}$$

Divide 36 by 4 to get 9.

$$9+\frac{1}{5}\times 12^{3}$$

Calculate 12 to the power of 3 and get 1728.

$$9+\frac{1}{5}\times 1728$$

Multiply \frac{1}{5} and 1728 to get \frac{1728}{5}.

$$9+\frac{1728}{5}$$

Convert 9 to fraction \frac{45}{5}.

$$\frac{45}{5}+\frac{1728}{5}$$

Since \frac{45}{5} and \frac{1728}{5} have the same denominator, add them by adding their numerators.

$$\frac{45+1728}{5}$$

Add 45 and 1728 to get 1773.

$$\frac{1773}{5}$$

Factor

$$\frac{3 ^ {2} \cdot 197}{5} = 354\frac{3}{5} = 354.6$$