Solve 3.14*1/2*16^2

$$3.14 \times \frac{ 1 }{ 2 } \times { 16 }^{ 2 }$$

Evaluate

$$401.92$$

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.

$$\frac{157}{50}\times \frac{1}{2}\times 16^{2}$$

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

$$\frac{157\times 1}{50\times 2}\times 16^{2}$$

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

$$\frac{157}{100}\times 16^{2}$$

Calculate 16 to the power of 2 and get 256.

$$\frac{157}{100}\times 256$$

Express \frac{157}{100}\times 256 as a single fraction.

$$\frac{157\times 256}{100}$$

Multiply 157 and 256 to get 40192.

$$\frac{40192}{100}$$

Reduce the fraction \frac{40192}{100} to lowest terms by extracting and canceling out 4.

$$\frac{10048}{25}$$

Factor

$$\frac{157 \cdot 2 ^ {6}}{5 ^ {2}} = 401\frac{23}{25} = 401.92$$