Solve 1/2*4/3*3.14*3

$$\frac{ 1 }{ 2 } \times \frac{ 4 }{ 3 } \times 3.14 \times 3$$

Evaluate

$$6.28$$

Solution Steps

Multiply \frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 3}\times 3.14\times 3$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 3}.

$$\frac{4}{6}\times 3.14\times 3$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

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.

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

Multiply \frac{2}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 157}{3\times 50}.

$$\frac{314}{150}\times 3$$

Reduce the fraction \frac{314}{150} to lowest terms by extracting and canceling out 2.

$$\frac{157}{75}\times 3$$

Express \frac{157}{75}\times 3 as a single fraction.

$$\frac{157\times 3}{75}$$

Multiply 157 and 3 to get 471.

$$\frac{471}{75}$$

Reduce the fraction \frac{471}{75} to lowest terms by extracting and canceling out 3.

$$\frac{157}{25}$$

Factor

$$\frac{157}{5 ^ {2}} = 6\frac{7}{25} = 6.28$$