Solve 1/4*3.14*5^2

$$\frac{ 1 }{ 4 } \times 3.14 \times { 5 }^{ 2 }$$

Evaluate

$$19.625$$

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.

$$\frac{1}{4}\times \frac{157}{50}\times 5^{2}$$

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

$$\frac{1\times 157}{4\times 50}\times 5^{2}$$

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

$$\frac{157}{200}\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{157}{200}\times 25$$

Express \frac{157}{200}\times 25 as a single fraction.

$$\frac{157\times 25}{200}$$

Multiply 157 and 25 to get 3925.

$$\frac{3925}{200}$$

Reduce the fraction \frac{3925}{200} to lowest terms by extracting and canceling out 25.

$$\frac{157}{8}$$

Factor

$$\frac{157}{2 ^ {3}} = 19\frac{5}{8} = 19.625$$