Solve 1/3(3.14)(21^2)(20)

$$\frac{ 1 }{ 3 } (3.14)( { 21 }^{ 2 } )(20)$$

Evaluate

$$9231.6$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 21^{2}\times 20$$

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

$$\frac{1\times 157}{3\times 50}\times 21^{2}\times 20$$

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

$$\frac{157}{150}\times 21^{2}\times 20$$

Calculate 21 to the power of 2 and get 441.

$$\frac{157}{150}\times 441\times 20$$

Express \frac{157}{150}\times 441 as a single fraction.

$$\frac{157\times 441}{150}\times 20$$

Multiply 157 and 441 to get 69237.

$$\frac{69237}{150}\times 20$$

Reduce the fraction \frac{69237}{150} to lowest terms by extracting and canceling out 3.

$$\frac{23079}{50}\times 20$$

Express \frac{23079}{50}\times 20 as a single fraction.

$$\frac{23079\times 20}{50}$$

Multiply 23079 and 20 to get 461580.

$$\frac{461580}{50}$$

Reduce the fraction \frac{461580}{50} to lowest terms by extracting and canceling out 10.

$$\frac{46158}{5}$$

Factor

$$\frac{2 \cdot 3 \cdot 157 \cdot 7 ^ {2}}{5} = 9231\frac{3}{5} = 9231.6$$