Solve 4/3*3.14*6=

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

Evaluate

$$25.12$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 6$$

Multiply \frac{4}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 157}{3\times 50}\times 6$$

Do the multiplications in the fraction \frac{4\times 157}{3\times 50}.

$$\frac{628}{150}\times 6$$

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

$$\frac{314}{75}\times 6$$

Express \frac{314}{75}\times 6 as a single fraction.

$$\frac{314\times 6}{75}$$

Multiply 314 and 6 to get 1884.

$$\frac{1884}{75}$$

Reduce the fraction \frac{1884}{75} to lowest terms by extracting and canceling out 3.

$$\frac{628}{25}$$

Factor

$$\frac{157 \cdot 2 ^ {2}}{5 ^ {2}} = 25\frac{3}{25} = 25.12$$