Solve 1/3*3.14*2^2

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

Evaluate

$$\frac{314}{75}\approx 4.186666667$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 2^{2}$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{3\times 50}\times 2^{2}$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$\frac{157}{150}\times 2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{157}{150}\times 4$$

Express \frac{157}{150}\times 4 as a single fraction.

$$\frac{157\times 4}{150}$$

Multiply 157 and 4 to get 628.

$$\frac{628}{150}$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}$$

Factor

$$\frac{2 \cdot 157}{3 \cdot 5 ^ {2}} = 4\frac{14}{75} = 4.1866666666666665$$