Solve 4^2*3.14*1/3*12

$${ 4 }^{ 2 } \times 3.14 \times \frac{ 1 }{ 3 } \times 12$$

Evaluate

$$200.96$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$16\times 3.14\times \frac{1}{3}\times 12$$

Multiply 16 and 3.14 to get 50.24.

$$50.24\times \frac{1}{3}\times 12$$

Convert decimal number 50.24 to fraction \frac{5024}{100}. Reduce the fraction \frac{5024}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1256}{25}\times \frac{1}{3}\times 12$$

Multiply \frac{1256}{25} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1256\times 1}{25\times 3}\times 12$$

Do the multiplications in the fraction \frac{1256\times 1}{25\times 3}.

$$\frac{1256}{75}\times 12$$

Express \frac{1256}{75}\times 12 as a single fraction.

$$\frac{1256\times 12}{75}$$

Multiply 1256 and 12 to get 15072.

$$\frac{15072}{75}$$

Reduce the fraction \frac{15072}{75} to lowest terms by extracting and canceling out 3.

$$\frac{5024}{25}$$

Factor

$$\frac{157 \cdot 2 ^ {5}}{5 ^ {2}} = 200\frac{24}{25} = 200.96$$