Solve 3.14*1/2*12^2

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

Evaluate

$$226.08$$

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.

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

Multiply \frac{157}{50} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{157\times 1}{50\times 2}.

$$\frac{157}{100}\times 12^{2}$$

Calculate 12 to the power of 2 and get 144.

$$\frac{157}{100}\times 144$$

Express \frac{157}{100}\times 144 as a single fraction.

$$\frac{157\times 144}{100}$$

Multiply 157 and 144 to get 22608.

$$\frac{22608}{100}$$

Reduce the fraction \frac{22608}{100} to lowest terms by extracting and canceling out 4.

$$\frac{5652}{25}$$

Factor

$$\frac{157 \cdot 2 ^ {2} \cdot 3 ^ {2}}{5 ^ {2}} = 226\frac{2}{25} = 226.08$$