Solve 1/4*3.14*25^2*30=

$$\frac{ 1 }{ 4 } \times 3.14 \times { 25 }^{ 2 } \times 30=$$

Evaluate

$$14718.75$$

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.

$$\frac{1}{4}\times \frac{157}{50}\times 25^{2}\times 30$$

Multiply \frac{1}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{4\times 50}\times 25^{2}\times 30$$

Do the multiplications in the fraction \frac{1\times 157}{4\times 50}.

$$\frac{157}{200}\times 25^{2}\times 30$$

Calculate 25 to the power of 2 and get 625.

$$\frac{157}{200}\times 625\times 30$$

Express \frac{157}{200}\times 625 as a single fraction.

$$\frac{157\times 625}{200}\times 30$$

Multiply 157 and 625 to get 98125.

$$\frac{98125}{200}\times 30$$

Reduce the fraction \frac{98125}{200} to lowest terms by extracting and canceling out 25.

$$\frac{3925}{8}\times 30$$

Express \frac{3925}{8}\times 30 as a single fraction.

$$\frac{3925\times 30}{8}$$

Multiply 3925 and 30 to get 117750.

$$\frac{117750}{8}$$

Reduce the fraction \frac{117750}{8} to lowest terms by extracting and canceling out 2.

$$\frac{58875}{4}$$

Factor

$$\frac{3 \cdot 157 \cdot 5 ^ {3}}{2 ^ {2}} = 14718\frac{3}{4} = 14718.75$$