Solve 1/33.14*1^2*0.6

$$\frac{ 1 }{ 3 } 3.14 \times { 1 }^{ 2 } \times 0.6$$

Evaluate

$$0.628$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 1^{2}\times 0.6$$

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

$$\frac{1\times 157}{3\times 50}\times 1^{2}\times 0.6$$

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

$$\frac{157}{150}\times 1^{2}\times 0.6$$

Calculate 1 to the power of 2 and get 1.

$$\frac{157}{150}\times 1\times 0.6$$

Multiply \frac{157}{150} and 1 to get \frac{157}{150}.

$$\frac{157}{150}\times 0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{157}{150}\times \frac{3}{5}$$

Multiply \frac{157}{150} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 3}{150\times 5}$$

Do the multiplications in the fraction \frac{157\times 3}{150\times 5}.

$$\frac{471}{750}$$

Reduce the fraction \frac{471}{750} to lowest terms by extracting and canceling out 3.

$$\frac{157}{250}$$

Factor

$$\frac{157}{2 \cdot 5 ^ {3}} = 0.628$$