Solve 4/3*3.14*(30*30*30)

$$\frac{ 4 }{ 3 } \times 3.14 \times (30 \times 30 \times 30)$$

Evaluate

$$113040$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 30\times 30\times 30$$

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

$$\frac{4\times 157}{3\times 50}\times 30\times 30\times 30$$

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

$$\frac{628}{150}\times 30\times 30\times 30$$

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

$$\frac{314}{75}\times 30\times 30\times 30$$

Express \frac{314}{75}\times 30 as a single fraction.

$$\frac{314\times 30}{75}\times 30\times 30$$

Multiply 314 and 30 to get 9420.

$$\frac{9420}{75}\times 30\times 30$$

Reduce the fraction \frac{9420}{75} to lowest terms by extracting and canceling out 15.

$$\frac{628}{5}\times 30\times 30$$

Express \frac{628}{5}\times 30 as a single fraction.

$$\frac{628\times 30}{5}\times 30$$

Multiply 628 and 30 to get 18840.

$$\frac{18840}{5}\times 30$$

Divide 18840 by 5 to get 3768.

$$3768\times 30$$

Multiply 3768 and 30 to get 113040.

$$113040$$

Factor

$$5\times 157\times 2^{4}\times 3^{2}$$