Solve 1/3*3.14*12^2*20

$$\frac { 1 } { 3 } \times 3.14 \times 12 ^ { 2 } \times 20$$

Evaluate

$$3014.4$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{157}{50}\times 12^{2}\times 20$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{3\times 50}\times 12^{2}\times 20$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$\frac{157}{150}\times 12^{2}\times 20$$

Calculate 12 to the power of 2 and get 144.

$$\frac{157}{150}\times 144\times 20$$

Express \frac{157}{150}\times 144 as a single fraction.

$$\frac{157\times 144}{150}\times 20$$

Multiply 157 and 144 to get 22608.

$$\frac{22608}{150}\times 20$$

Reduce the fraction \frac{22608}{150} to lowest terms by extracting and canceling out 6.

$$\frac{3768}{25}\times 20$$

Express \frac{3768}{25}\times 20 as a single fraction.

$$\frac{3768\times 20}{25}$$

Multiply 3768 and 20 to get 75360.

$$\frac{75360}{25}$$

Reduce the fraction \frac{75360}{25} to lowest terms by extracting and canceling out 5.

$$\frac{15072}{5}$$

Factor

$$\frac{3 \cdot 157 \cdot 2 ^ {5}}{5} = 3014\frac{2}{5} = 3014.4$$