Solve 4/3*3.14*13*13*13

$$\frac{ 4 }{ 3 } \times 3.14 \times 13 \times 13 \times 13$$

Evaluate

$$\frac{689858}{75}\approx 9198.106666667$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 13\times 13\times 13$$

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

$$\frac{4\times 157}{3\times 50}\times 13\times 13\times 13$$

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

$$\frac{628}{150}\times 13\times 13\times 13$$

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

$$\frac{314}{75}\times 13\times 13\times 13$$

Express \frac{314}{75}\times 13 as a single fraction.

$$\frac{314\times 13}{75}\times 13\times 13$$

Multiply 314 and 13 to get 4082.

$$\frac{4082}{75}\times 13\times 13$$

Express \frac{4082}{75}\times 13 as a single fraction.

$$\frac{4082\times 13}{75}\times 13$$

Multiply 4082 and 13 to get 53066.

$$\frac{53066}{75}\times 13$$

Express \frac{53066}{75}\times 13 as a single fraction.

$$\frac{53066\times 13}{75}$$

Multiply 53066 and 13 to get 689858.

$$\frac{689858}{75}$$

Factor

$$\frac{2 \cdot 157 \cdot 13 ^ {3}}{3 \cdot 5 ^ {2}} = 9198\frac{8}{75} = 9198.106666666667$$