Solve 1/3*3.14*15^2*19

$$\frac{ 1 }{ 3 } \times 3.14 \times { 15 }^{ 2 } \times 19$$

Evaluate

$$4474.5$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 15^{2}\times 19$$

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

$$\frac{1\times 157}{3\times 50}\times 15^{2}\times 19$$

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

$$\frac{157}{150}\times 15^{2}\times 19$$

Calculate 15 to the power of 2 and get 225.

$$\frac{157}{150}\times 225\times 19$$

Express \frac{157}{150}\times 225 as a single fraction.

$$\frac{157\times 225}{150}\times 19$$

Multiply 157 and 225 to get 35325.

$$\frac{35325}{150}\times 19$$

Reduce the fraction \frac{35325}{150} to lowest terms by extracting and canceling out 75.

$$\frac{471}{2}\times 19$$

Express \frac{471}{2}\times 19 as a single fraction.

$$\frac{471\times 19}{2}$$

Multiply 471 and 19 to get 8949.

$$\frac{8949}{2}$$

Factor

$$\frac{3 \cdot 19 \cdot 157}{2} = 4474\frac{1}{2} = 4474.5$$