Solve 4/3*3.14*97.336

$$\frac { 4 } { 3 } \cdot 3.14 \cdot 97.336$$

Evaluate

$$\frac{3820438}{9375}\approx 407.513386667$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 97.336$$

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

$$\frac{4\times 157}{3\times 50}\times 97.336$$

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

$$\frac{628}{150}\times 97.336$$

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

$$\frac{314}{75}\times 97.336$$

Convert decimal number 97.336 to fraction \frac{97336}{1000}. Reduce the fraction \frac{97336}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{314}{75}\times \frac{12167}{125}$$

Multiply \frac{314}{75} times \frac{12167}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 12167}{75\times 125}$$

Do the multiplications in the fraction \frac{314\times 12167}{75\times 125}.

$$\frac{3820438}{9375}$$

Factor

$$\frac{2 \cdot 157 \cdot 23 ^ {3}}{3 \cdot 5 ^ {5}} = 407\frac{4813}{9375} = 407.5133866666667$$