Solve 4/3*3.14*4.75

$$\frac{ 4 }{ 3 } \times 3.14 \times 4.75$$

Evaluate

$$\frac{2983}{150}\approx 19.886666667$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 4.75$$

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

$$\frac{4\times 157}{3\times 50}\times 4.75$$

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

$$\frac{628}{150}\times 4.75$$

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

$$\frac{314}{75}\times 4.75$$

Convert decimal number 4.75 to fraction \frac{475}{100}. Reduce the fraction \frac{475}{100} to lowest terms by extracting and canceling out 25.

$$\frac{314}{75}\times \frac{19}{4}$$

Multiply \frac{314}{75} times \frac{19}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 19}{75\times 4}$$

Do the multiplications in the fraction \frac{314\times 19}{75\times 4}.

$$\frac{5966}{300}$$

Reduce the fraction \frac{5966}{300} to lowest terms by extracting and canceling out 2.

$$\frac{2983}{150}$$

Factor

$$\frac{19 \cdot 157}{2 \cdot 3 \cdot 5 ^ {2}} = 19\frac{133}{150} = 19.886666666666667$$