Solve 3.14*8^2*6*1/3

$$3.14 \times { 8 }^{ 2 } \times 6 \times \frac{ 1 }{ 3 }$$

Evaluate

$$401.92$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$3.14\times 64\times 6\times \frac{1}{3}$$

Multiply 3.14 and 64 to get 200.96.

$$200.96\times 6\times \frac{1}{3}$$

Multiply 200.96 and 6 to get 1205.76.

$$1205.76\times \frac{1}{3}$$

Convert decimal number 1205.76 to fraction \frac{120576}{100}. Reduce the fraction \frac{120576}{100} to lowest terms by extracting and canceling out 4.

$$\frac{30144}{25}\times \frac{1}{3}$$

Multiply \frac{30144}{25} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{30144\times 1}{25\times 3}$$

Do the multiplications in the fraction \frac{30144\times 1}{25\times 3}.

$$\frac{30144}{75}$$

Reduce the fraction \frac{30144}{75} to lowest terms by extracting and canceling out 3.

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

Factor

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